ATLAS: Work to be done

On this page, we record details of the work to be done on the ATLAS. Use the links on the right to select an area of interest.

• Groups with porting problems.
• Failing matrix representations
• Failing permutation representations
• Failing presentations
• Failing subgroup programs
• Problematic representations

Linear groups

Lead group	Group	Gens	Pres	Check	Find	Perm rep	Matrix rep	Conj cl	Maxes
L2(4)	A5	1	1	1	0	3	15	0/0	3/3
	2.A5	1	1	0	0	2	24	0/0	0/0
	S5	1	1	0	0	3	6	0/0	4/4
	2.S5	1	1	0	0	3	8	0/0	0/0
	2.S5i	1	1	0	0	2	10	0/0	0/0
L2(5)	A5	1	1	1	0	3	15	0/0	3/3
	2.A5	1	1	0	0	2	24	0/0	0/0
	S5	1	1	0	0	3	6	0/0	4/4
	2.S5	1	1	0	0	3	8	0/0	0/0
	2.S5i	1	1	0	0	2	10	0/0	0/0
L2(7)	L3(2)	1	1	1	0	14	17	0/0	9/3
	SL2(7)	1	1	0	0	4	9	0/0	0/0
	L2(7):2	1	1	0	0	21	0	0/0	4/4
	2.PGL2(7)	1	0	0	0	4	0	0/0	0/0
	2.L2(7).2i	1	0	0	0	11	0	0/0	0/0
L2(8)	L2(8)	1	0	1	0	3	26	9/9	0/3
	L2(8):3	1	0	0	0	3	12	11/11	0/4
L2(9)	A6	1	1	1	0	5	23	7/7	5/5
	2.A6	1	0	0	0	4	14	0/0	0/0
	3.A6	1	0	0	0	4	16	0/0	0/0
	6.A6	1	0	0	0	2	6	0/0	0/0
	S6	1	1	0	0	5	0	12/11	6/6
	2.S6	1	0	0	0	3	0	0/0	0/0
	3.S6	1	0	0	0	4	0	0/0	0/0
	6.S6	1	0	0	0	1	0	0/0	0/0
	PGL2(9)	1	1	0	0	1	0	13/13	0/0
	2.PGL2(9)	1	0	0	0	0	0	0/0	0/0
	3.PGL2(9)	1	0	0	0	0	0	0/0	0/0
	6.PGL2(9)	1	0	0	0	0	0	0/0	0/0
	M10	1	1	0	0	1	0	8/8	0/0
	3.M10	1	0	0	0	0	0	0/0	0/0
	Aut(A6)	1	1	0	0	1	0	13/13	0/0
	3.Aut(A6)	1	0	0	0	0	0	0/0	0/0
L2(11)	L2(11)	1	1	1	0	4	31	8/8	4/4
	2.L2(11)	1	0	0	0	0	5	0/0	0/0
	L2(11):2	1	1	1	0	5	9	13/13	5/5
	2.L2(11).2	1	0	0	0	0	0	0/0	0/0
L2(13)	L2(13)	1	0	1	0	1	24	9/9	0/0
	2.L2(13)	1	0	0	0	0	17	0/0	0/0
	L2(13).2	1	0	0	0	3	3	15/15	0/0
	2.L2(13).2	1	0	0	0	0	1	0/0	0/0
L2(16)	L2(16)	1	1	1	0	1	20	17/17	0/0
	L2(16):2	1	1	0	0	0	1	16/16	0/0
	L2(16):4	1	1	0	0	0	16	17/17	0/0
L2(17)	L2(17)	1	1	1	0	1	28	11/11	0/0
	2.L2(17)	1	0	0	0	0	10	0/0	0/0
	L2(17):2	1	1	0	0	1	1	0/0	0/0
	2.L2(17).2	1	0	0	0	0	1	0/0	0/0
L2(19)	L2(19)	1	1	1	0	5	39	12/12	0/0
	2.L2(19)	1	0	0	0	1	1	0/0	0/0
	L2(19):2	1	1	0	0	5	1	21/21	0/0
	2.L2(19).2	1	0	0	0	0	0	0/0	0/0
	2.L2(19).2i	0	0	0	0	0	3	0/0	0/0
L2(23)	L2(23)	1	0	1	0	1	34	14/14	0/5
	2.L2(23)	1	0	0	0	0	1	0/0	0/0
	L2(23):2	1	0	0	0	0	2	25/25	0/4
	2.L2(23).2	1	0	0	0	0	1	0/0	0/0
	2.L2(23).2 (isoclinic)	1	0	0	0	0	1	0/0	0/0
L2(27)	L2(27)	1	0	1	0	1	17	16/16	0/0
	2.L2(27)	1	0	0	0	0	3	0/0	0/0
	L2(27).2	1	0	0	0	0	0	0/0	0/0
	2L2(27).2	1	0	0	0	0	0	0/0	0/0
	L2(27).3	1	0	0	0	0	0	0/0	0/0
	2L2(27).3	1	0	0	0	0	0	0/0	0/0
	L2(27).6	1	0	0	0	0	0	0/0	0/0
	2L2(27).6	1	0	0	0	0	0	0/0	0/0
L2(29)	L2(29)	1	0	1	0	1	34	17/17	0/0
	2.L2(29)	1	0	0	0	0	1	0/0	0/0
L2(31)	L2(31)	1	1	1	0	1	29	18/18	0/0
	2.L2(31)	1	0	0	0	0	3	0/0	0/0
	L2(31):2	1	1	0	0	0	1	0/0	0/0
	2.L2(31).2	1	0	0	0	0	0	0/0	0/0
L2(32)	L2(32)	1	1	1	0	3	23	33/33	0/0
	L2(32):5	1	1	0	0	3	7	21/21	0/0
L3(2)	L3(2)	1	1	1	0	14	17	0/0	9/3
	SL2(7)	1	1	0	0	4	9	0/0	0/0
	L2(7):2	1	1	0	0	21	0	0/0	4/4
	2.PGL2(7)	1	0	0	0	4	0	0/0	0/0
	2.L2(7).2i	1	0	0	0	11	0	0/0	0/0
L3(3)	L3(3)	1	0	1	0	4	27	0/0	0/0
	L3(3):2	1	0	0	0	5	15	0/0	0/0
L3(4)	L3(4)	1	1	1	0	9	41	0/0	9/9
	3.L3(4)	1	0	0	0	5	20	0/0	0/0
	2.L3(4)	1	0	0	0	6	23	0/0	0/0
	4a.L3(4)	1	0	0	0	2	0	0/0	0/0
	4b.L3(4)	1	0	0	0	2	28	0/0	0/0
	6.L3(4)	1	0	0	0	3	1	0/0	0/0
	12a.L3(4)	1	0	0	0	1	0	0/0	0/0
	12b.L3(4)	1	0	0	0	1	4	0/0	0/0
	L3(4):2a	1	0	0	0	0	21	7/14	0/0
	3.L3(4):2a	1	0	0	0	0	14	0/0	0/0
	4a.L3(4):2a	1	0	0	0	0	12	0/0	0/0
	L3(4):2b	0	0	0	0	0	0	0/0	0/0
	L3(4):6	0	0	0	0	0	0	0/0	0/0
	L3(4):S3a	0	0	0	0	0	0	0/0	0/0
	3.L3(4).S3	0	0	0	0	0	0	0/0	0/0
	L3(4):S3b	0	0	0	0	0	0	0/0	0/0
	3.L3(4).S3	0	0	0	0	0	0	0/0	0/0
	L3(4):D12	0	0	0	0	0	0	0/0	0/0
	3.L3(4).D12	0	0	0	0	0	0	0/0	0/0
	2.L3(4):2a	1	0	0	0	0	15	0/0	0/0
	4b.L3(4):2a	1	0	0	0	0	15	0/0	0/0
	6.L3(4):2a	1	0	0	0	0	8	0/0	0/0
	12a.L3(4):2a	1	0	0	0	0	6	0/0	0/0
	12b.L3(4):2a	1	0	0	0	0	8	0/0	0/0
L3(5)	L3(5)	2	2	1	0	2	3	0/0	0/5
	L3(5):2	1	1	0	0	6	2	0/0	6/6
L3(7)	L3(7)	1	0	1	0	1	17	22/22	0/8
	3.L3(7)	1	0	0	0	0	1	0/0	0/0
	L3(7).2	1	0	0	0	0	18	26/26	2/7
	3.L3(7).2	1	0	0	0	0	1	0/0	0/0
L3(8)	L3(8)	1	0	1	0	5	31	6/72	5/5
	L3(8).2	1	0	0	0	6	22	7/54	6/6
	L3(8).3	1	0	0	0	7	21	7/40	6/6
	L3(8).6	1	0	0	0	6	21	9/42	7/7
L3(11)	L3(11)	1	0	1	0	1	18	0/0	0/0
	L3(11):2	0	0	0	0	0	0	0/0	0/0
L3(13)	L3(13)	1	0	1	0	2	5	0/0	0/0
	3.L3(13)	0	0	0	0	0	0	0/0	0/0
	L3(13):2	0	0	0	0	0	0	0/0	0/0
	L3(13):3	0	0	0	0	0	0	0/0	0/0
	L3(13):S3	0	0	0	0	0	0	0/0	0/0
L4(2)	A8	1	0	1	0	3	22	0/0	0/0
	2.A8	1	0	0	0	3	24	0/0	0/0
	S8	1	0	0	0	1	5	0/0	0/0
	2.S8	1	0	0	0	0	0	0/0	0/0
	2.S8 (isoclinic)	1	0	0	0	0	0	0/0	0/0
L4(3)	L4(3)	1	0	1	0	0	9	0/0	0/0
	2.L4(3)	1	0	0	0	0	0	0/0	0/0
	L4(3).21	1	0	0	0	0	0	0/0	0/0
	2.L4(3).21	1	0	0	0	0	0	0/0	0/0
L4(4)	L4(4)	1	0	1	0	2	6	0/0	0/0
	L4(4):21	0	0	0	0	0	0	0/0	0/0
	L4(4):22	0	0	0	0	0	0	0/0	0/0
	L4(4):23	0	0	0	0	0	0	0/0	0/0
	L4(4):22	0	0	0	0	0	0	0/0	0/0
L4(5)	L4(5)	1	0	1	0	2	1	0/0	0/0
L5(2)	L5(2)	1	0	1	0	2	22	27/27	0/5
	L5(2):2	1	0	0	0	1	8	0/0	1/6
L6(2)	L6(2)	1	0	1	0	1	24	0/0	0/0
	L6(2):2	1	0	0	0	1	13	0/0	0/0
L7(2)	L7(2)	1	0	1	0	2	24	0/0	0/7
	L7(2):2	2	0	0	0	1	12	0/0	0/6
L2(37)	L2(37)	1	0	0	0	1	2	0/0	4/4
	2.L2(37)	1	0	0	0	0	1	0/0	0/0
	L2(37):2	0	0	0	0	0	0	0/0	0/0
	2.L2(37):2	0	0	0	0	0	0	0/0	0/0
L2(41)	L2(41)	1	0	0	0	1	2	0/0	7/7
	2.L2(41)	1	0	0	0	0	1	0/0	0/0
	L2(41):2	0	0	0	0	0	0	0/0	0/0
	2.L2(41):2	0	0	0	0	0	0	0/0	0/0
L2(43)	L2(43)	1	0	0	0	1	2	0/0	4/4
	2.L2(43)	1	0	0	0	0	1	0/0	0/0
	L2(43):2	0	0	0	0	0	0	0/0	0/0
	2.L2(43):2	0	0	0	0	0	0	0/0	0/0
L2(47)	L2(47)	1	0	0	0	1	2	0/0	5/5
	2.L2(47)	1	0	0	0	0	1	0/0	0/0
	L2(47):2	0	0	0	0	0	0	0/0	0/0
	2.L2(47):2	0	0	0	0	0	0	0/0	0/0
L2(53)	L2(53)	1	0	0	0	1	2	0/0	4/4
	2.L2(53)	1	0	0	0	0	1	0/0	0/0
	L2(53):2	0	0	0	0	0	0	0/0	0/0
	2.L2(53):2	0	0	0	0	0	0	0/0	0/0
L2(59)	L2(59)	1	0	0	0	1	2	0/0	5/5
	2.L2(59)	1	0	0	0	0	1	0/0	0/0
	L2(59):2	0	0	0	0	0	0	0/0	0/0
	2.L2(59):2	0	0	0	0	0	0	0/0	0/0
L2(61)	L2(61)	1	0	0	0	1	2	0/0	5/5
	2.L2(61)	1	0	0	0	0	1	0/0	0/0
	L2(61):2	0	0	0	0	0	0	0/0	0/0
	2.L2(61):2	0	0	0	0	0	0	0/0	0/0
L2(67)	L2(67)	1	0	0	0	1	2	0/0	4/4
	2.L2(67)	1	0	0	0	0	1	0/0	0/0
	L2(67):2	0	0	0	0	0	0	0/0	0/0
	2.L2(67):2	0	0	0	0	0	0	0/0	0/0
L2(71)	L2(71)	1	0	0	0	1	2	0/0	7/7
	2.L2(71)	1	0	0	0	0	1	0/0	0/0
	L2(71):2	0	0	0	0	0	0	0/0	0/0
	2.L2(71):2	0	0	0	0	0	0	0/0	0/0
L2(73)	L2(73)	1	0	0	0	1	2	0/0	5/5
	2.L2(73)	1	0	0	0	0	1	0/0	0/0
	L2(73):2	0	0	0	0	0	0	0/0	0/0
	2.L2(73):2	0	0	0	0	0	0	0/0	0/0
L2(79)	L2(79)	1	0	0	0	1	2	0/0	7/7
	2.L2(79)	1	0	0	0	0	1	0/0	0/0
	L2(79):2	0	0	0	0	0	0	0/0	0/0
	2.L2(79):2	0	0	0	0	0	0	0/0	0/0
L2(83)	L2(83)	1	0	0	0	1	2	0/0	4/4
	2.L2(83)	1	0	0	0	0	1	0/0	0/0
	L2(83):2	0	0	0	0	0	0	0/0	0/0
	2.L2(83):2	0	0	0	0	0	0	0/0	0/0
L2(89)	L2(89)	1	0	0	0	1	2	0/0	7/7
	2.L2(89)	1	0	0	0	0	1	0/0	0/0
	L2(89):2	0	0	0	0	0	0	0/0	0/0
	2.L2(89):2	0	0	0	0	0	0	0/0	0/0
L2(97)	L2(97)	1	0	0	0	1	2	0/0	5/5
	2.L2(97)	1	0	0	0	0	1	0/0	0/0
	L2(97):2	0	0	0	0	0	0	0/0	0/0
	2.L2(97):2	0	0	0	0	0	0	0/0	0/0
L2(101)	L2(101)	1	0	0	0	1	2	0/0	5/5
	2.L2(101)	1	0	0	0	0	1	0/0	0/0
	L2(101):2	0	0	0	0	0	0	0/0	0/0
	2.L2(101):2	0	0	0	0	0	0	0/0	0/0
L2(103)	L2(103)	1	0	0	0	1	2	0/0	5/5
	2.L2(103)	1	0	0	0	0	1	0/0	0/0
	L2(103):2	0	0	0	0	0	0	0/0	0/0
	2.L2(103):2	0	0	0	0	0	0	0/0	0/0
L2(107)	L2(107)	1	0	0	0	1	2	0/0	4/4
	2.L2(107)	1	0	0	0	0	1	0/0	0/0
	L2(107):2	0	0	0	0	0	0	0/0	0/0
	2.L2(107):2	0	0	0	0	0	0	0/0	0/0
L2(109)	L2(109)	1	0	0	0	1	2	0/0	5/5
	2.L2(109)	1	0	0	0	0	1	0/0	0/0
	L2(109):2	0	0	0	0	0	0	0/0	0/0
	2.L2(109):2	0	0	0	0	0	0	0/0	0/0
L2(113)	L2(113)	1	0	0	0	1	2	0/0	5/5
	2.L2(113)	1	0	0	0	0	1	0/0	0/0
	L2(113):2	0	0	0	0	0	0	0/0	0/0
	2.L2(113):2	0	0	0	0	0	0	0/0	0/0
L2(127)	L2(127)	1	0	0	0	1	2	0/0	5/5
	2.L2(127)	1	0	0	0	0	1	0/0	0/0
	L2(127):2	0	0	0	0	0	0	0/0	0/0
	2.L2(127):2	0	0	0	0	0	0	0/0	0/0
L2(131)	L2(131)	1	0	0	0	1	2	0/0	5/5
	2.L2(131)	1	0	0	0	0	1	0/0	0/0
	L2(131):2	0	0	0	0	0	0	0/0	0/0
	2.L2(131):2	0	0	0	0	0	0	0/0	0/0
L2(137)	L2(137)	1	0	0	0	1	2	0/0	5/5
	2.L2(137)	1	0	0	0	0	1	0/0	0/0
	L2(137):2	0	0	0	0	0	0	0/0	0/0
	2.L2(137):2	0	0	0	0	0	0	0/0	0/0
L2(139)	L2(139)	1	0	0	0	1	2	0/0	5/5
	2.L2(139)	1	0	0	0	0	1	0/0	0/0
	L2(139):2	0	0	0	0	0	0	0/0	0/0
	2.L2(139):2	0	0	0	0	0	0	0/0	0/0
L2(149)	L2(149)	1	0	0	0	1	2	0/0	5/5
	2.L2(149)	1	0	0	0	0	1	0/0	0/0
	L2(149):2	0	0	0	0	0	0	0/0	0/0
	2.L2(149):2	0	0	0	0	0	0	0/0	0/0
L2(151)	L2(151)	1	0	0	0	1	2	0/0	7/7
	2.L2(151)	1	0	0	0	0	1	0/0	0/0
	L2(151):2	0	0	0	0	0	0	0/0	0/0
	2.L2(151):2	0	0	0	0	0	0	0/0	0/0
L2(157)	L2(157)	1	0	0	0	1	2	0/0	4/4
	2.L2(157)	1	0	0	0	0	1	0/0	0/0
	L2(157):2	0	0	0	0	0	0	0/0	0/0
	2.L2(157):2	0	0	0	0	0	0	0/0	0/0
L2(163)	L2(163)	1	0	0	0	1	2	0/0	4/4
	2.L2(163)	1	0	0	0	0	1	0/0	0/0
	L2(163):2	0	0	0	0	0	0	0/0	0/0
	2.L2(163):2	0	0	0	0	0	0	0/0	0/0
L2(167)	L2(167)	1	0	0	0	1	2	0/0	5/5
	2.L2(167)	1	0	0	0	0	1	0/0	0/0
	L2(167):2	0	0	0	0	0	0	0/0	0/0
	2.L2(167):2	0	0	0	0	0	0	0/0	0/0
L2(173)	L2(173)	1	0	0	0	1	2	0/0	4/4
	2.L2(173)	1	0	0	0	0	1	0/0	0/0
	L2(173):2	0	0	0	0	0	0	0/0	0/0
	2.L2(173):2	0	0	0	0	0	0	0/0	0/0
L2(179)	L2(179)	1	0	0	0	1	2	0/0	5/5
	2.L2(179)	1	0	0	0	0	1	0/0	0/0
	L2(179):2	0	0	0	0	0	0	0/0	0/0
	2.L2(179):2	0	0	0	0	0	0	0/0	0/0
L2(181)	L2(181)	1	0	0	0	1	2	0/0	5/5
	2.L2(181)	1	0	0	0	0	1	0/0	0/0
	L2(181):2	0	0	0	0	0	0	0/0	0/0
	2.L2(181):2	0	0	0	0	0	0	0/0	0/0
L2(191)	L2(191)	1	0	0	0	1	2	0/0	7/7
	2.L2(191)	1	0	0	0	0	1	0/0	0/0
	L2(191):2	0	0	0	0	0	0	0/0	0/0
	2.L2(191):2	0	0	0	0	0	0	0/0	0/0
L2(193)	L2(193)	1	0	0	0	1	2	0/0	5/5
	2.L2(193)	1	0	0	0	0	1	0/0	0/0
	L2(193):2	0	0	0	0	0	0	0/0	0/0
	2.L2(193):2	0	0	0	0	0	0	0/0	0/0
L2(197)	L2(197)	1	0	0	0	1	2	0/0	4/4
	2.L2(197)	1	0	0	0	0	1	0/0	0/0
	L2(197):2	0	0	0	0	0	0	0/0	0/0
	2.L2(197):2	0	0	0	0	0	0	0/0	0/0
L2(199)	L2(199)	1	0	0	0	1	2	0/0	7/7
	2.L2(199)	1	0	0	0	0	1	0/0	0/0
	L2(199):2	0	0	0	0	0	0	0/0	0/0
	2.L2(199):2	0	0	0	0	0	0	0/0	0/0
L2(211)	L2(211)	1	0	0	0	1	2	0/0	5/5
	2.L2(211)	1	0	0	0	0	1	0/0	0/0
	L2(211):2	0	0	0	0	0	0	0/0	0/0
	2.L2(211):2	0	0	0	0	0	0	0/0	0/0
L2(223)	L2(223)	1	0	0	0	1	2	0/0	5/5
	2.L2(223)	1	0	0	0	0	1	0/0	0/0
	L2(223):2	0	0	0	0	0	0	0/0	0/0
	2.L2(223):2	0	0	0	0	0	0	0/0	0/0
L2(227)	L2(227)	1	0	0	0	1	2	0/0	4/4
	2.L2(227)	1	0	0	0	0	1	0/0	0/0
	L2(227):2	0	0	0	0	0	0	0/0	0/0
	2.L2(227):2	0	0	0	0	0	0	0/0	0/0
L2(229)	L2(229)	1	0	0	0	1	2	0/0	5/5
	2.L2(229)	1	0	0	0	0	1	0/0	0/0
	L2(229):2	0	0	0	0	0	0	0/0	0/0
	2.L2(229):2	0	0	0	0	0	0	0/0	0/0
L2(233)	L2(233)	1	0	0	0	1	2	0/0	5/5
	2.L2(233)	1	0	0	0	0	1	0/0	0/0
	L2(233):2	0	0	0	0	0	0	0/0	0/0
	2.L2(233):2	0	0	0	0	0	0	0/0	0/0
L2(239)	L2(239)	1	0	0	0	1	2	0/0	7/7
	2.L2(239)	1	0	0	0	0	1	0/0	0/0
	L2(239):2	0	0	0	0	0	0	0/0	0/0
	2.L2(239):2	0	0	0	0	0	0	0/0	0/0
L2(241)	L2(241)	1	0	0	0	1	2	0/0	7/7
	2.L2(241)	1	0	0	0	0	1	0/0	0/0
	L2(241):2	0	0	0	0	0	0	0/0	0/0
	2.L2(241):2	0	0	0	0	0	0	0/0	0/0
L2(49)	L2(49)	1	0	0	0	7	3	0/0	0/0
	2.L2(49)	0	0	0	0	0	2	0/0	0/0

---

HTML 4.01 / CSS

Navigation

Up

ATLAS index page

Maintenance

Editor

To do

Failing matrix representations
Failing permutation representations
Failing presentations
Failing subgroup programs
Problematic representations

Summaries

Sporadic groups
Alternating groups
Linear groups
Classical groups
Exceptional groups of Lie type
Miscellaneous groups