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.

Sporadic groups

Lead group Group Gens Pres Check Find Perm rep Matrix rep Conj cl Maxes
M11 M11 1 1 1 1 5 37 10/10 5/5
M12 M12 1 1 1 1 4 46 15/15 12/11
2.M12 1 1 0 0 1 5 0/0 0/0
M12:2 1 2 1 1 1 30 7/21 11/9
2.M12.2 1 0 0 0 1 21 0/0 0/0
M22 M22 1 1 1 1 12 48 12/12 9/8
2.M22 1 0 0 0 2 44 0/0 0/0
3.M22 1 0 0 0 3 37 0/0 0/0
4.M22 1 0 0 0 2 26 0/0 0/0
6.M22 1 0 0 0 1 28 0/0 0/0
12.M22 1 0 0 0 1 21 0/0 0/0
M22:2 1 1 1 1 7 39 21/21 11/7
2.M22.2 1 0 0 0 0 4 0/0 0/0
3.M22:2 1 0 0 0 0 1 0/0 0/0
4.M22.2 1 0 0 0 0 1 0/0 0/0
6.M22.2 1 0 0 0 0 1 0/0 0/0
12.M22.2 1 0 0 0 0 1 0/0 0/0
M23 M23 1 2 1 1 7 63 17/17 7/7
M24 M24 1 1 1 1 7 59 26/26 10/9
HS HS 1 1 1 1 8 66 24/24 12/12
2.HS 1 0 0 0 3 8 0/0 0/0
HS:2 1 1 1 1 4 51 0/39 13/10
2.HS.2 1 0 0 0 1 3 0/0 0/0
J2 J2 1 2 1 1 7 55 21/21 9/9
2.J2 1 2 0 0 2 17 0/0 0/0
J2:2 1 1 1 1 1 40 10/27 14/10
2.J2.2 1 1 0 0 0 26 0/0 0/0
2.J2:2 (isoclinic) 1 1 0 0 0 0 0/0 0/0
Co1 Co1 1 0 1 1 1 14 38/103 6/22
2.Co1 1 0 0 0 1 7 0/0 0/0
Co2 Co2 1 1 1 1 2 21 60/60 12/11
Co3 Co3 1 0 1 1 6 31 42/42 16/14
McL McL 1 1 1 1 12 35 24/24 12/12
3.McL 1 0 0 0 3 14 0/0 0/0
McL:2 1 1 1 1 5 24 12/33 12/10
3.McL:2 1 0 0 0 0 4 0/0 0/0
Suz Suz 1 0 1 1 7 23 16/47 17/17
2.Suz 1 0 0 0 1 3 0/0 0/0
3.Suz 1 0 0 0 3 6 0/0 0/0
6.Suz 1 0 0 0 1 3 0/0 0/0
Suz:2 1 0 1 1 1 4 0/68 23/16
2.Suz:2 1 0 0 0 0 1 0/0 0/0
3.Suz:2 1 0 0 0 1 4 0/0 0/0
6.Suz:2 1 0 0 0 0 3 0/0 0/0
6.Suz:2 (type b) 1 0 0 0 0 0 0/0 0/0
Th Th 1 0 1 1 0 9 67/55 19/16
He He 1 1 1 1 4 23 10/38 16/11
He:2 1 0 1 1 2 18 0/45 14/12
HN HN 1 0 1 1 1 22 54/54 11/14
HN:2 1 0 1 1 1 2 0/78 13/13
Fi22 Fi22 1 1 1 1 5 15 27/69 16/14
2.Fi22 1 1 0 0 2 5 0/0 0/0
3.Fi22 1 0 0 0 1 2 0/0 0/0
Fi22:2 1 1 1 1 1 16 0/112 15/13
2.Fi22:2 1 0 0 0 1 1 0/0 0/0
3.Fi22:2 1 1 0 0 1 2 0/0 0/0
6.Fi22 1 0 0 0 1 0 0/0 0/0
Fi23 Fi23 1 0 1 1 3 10 39/103 11/14
Fi24' Fi24' 1 0 1 1 1 2 36/120 0/0
3.Fi24' 1 0 0 0 1 1 0/0 0/0
Fi24':2 1 0 1 1 1 1 0/183 21/0
3.Fi24':2 1 0 0 0 1 1 0/0 0/0
B B 1 0 1 1 0 3 75/188 15/30
2.B 0 0 0 0 0 0 0/0 0/0
M M 1 0 1 1 0 0 0/194 0/43
2.B 0 0 0 0 0 0 0/0 0/0
21+24.Co1 0 0 0 0 0 0 0/0 0/0
3.Fi24 1 0 0 0 1 1 0/0 0/0
22.2E6:S3 1 0 0 0 0 1 0/0 0/0
210+16.O10+(2) 0 0 0 0 0 0 0/0 0/0
22+11+22.(M24 × S3) 1 0 0 0 1 0 0/0 0/0
31+12.2Suz.2 2 0 0 0 0 2 0/0 0/0
25+10+20.(S3 × L5(2)) 0 0 0 0 0 0 0/0 0/0
S3 × Th 1 0 0 0 0 1 0/0 0/0
2[39].(L3(2) × 3S6) 0 0 0 0 0 0 0/0 0/0
38.O8−(3).23 1 0 0 0 1 1 0/0 0/0
(D10 × HN).2 1 0 0 0 0 1 0/0 0/0
(32:2 × O8+(3)).S4 1 0 0 0 1 0 0/0 0/0
32+5+10.(M11 × 2S4) 1 0 0 0 2 0 0/0 0/0
33+2+6+6:(L3(3) × SD16) 5 0 0 0 6 0 0/0 0/0
51+6:2J2:4 1 0 0 0 1 1 0/0 0/0
(7:3 × He):2 1 0 0 0 1 0 0/0 0/0
(A5 × A12):2 1 0 0 0 1 0 0/0 0/0
53+3.(2 × L3(5)) 2 0 0 0 6 2 0/0 0/0
(A6 × A6 × A6).(2 × S4) 1 0 0 0 1 0 0/0 0/0
(A5 × U3(8):31):2 1 0 0 0 2 1 0/0 0/0
52+2+4:(S3 × GL2(5)) 1 0 0 0 2 0 0/0 0/0
(L3(2) × S4(4):2).2 1 0 0 0 2 1 0/0 0/0
71+4:(3 × 2S7) 1 0 0 0 1 1 0/0 0/0
(52:[24] × U3(5)).S3 1 0 0 0 1 0 0/0 0/0
(L2(11) × M12):2 1 0 0 0 1 0 0/0 0/0
(A7 × (A5 × A5):22):2 1 0 0 0 1 0 0/0 0/0
54:(3 × 2L2(25)):22 1 0 0 0 1 1 0/0 0/0
72+1+2:GL2(7) 1 0 0 0 2 1 0/0 0/0
M11 × A6.22 1 0 0 0 1 0 0/0 0/0
(S5 × S5 × S5):S3 1 0 0 0 1 0 0/0 0/0
(L2(11) × L2(11)):4 1 0 0 0 1 0 0/0 0/0
132:2L2(13).4 1 0 0 0 1 1 0/0 0/0
(72:(3 × 2A4) × L2(7)).2 1 0 0 0 1 0 0/0 0/0
(13:6 × L3(3)).2 1 0 0 0 1 0 0/0 0/0
131+2:(3 × 4S4) 1 0 0 0 1 1 0/0 0/0
L2(71) 1 0 0 0 1 0 0/0 0/0
L2(59) 1 0 0 0 1 0 0/0 0/0
112:(5 × 2A5) 1 0 0 0 1 1 0/0 0/0
L2(29):2 1 0 0 0 1 0 0/0 0/0
72:SL2(7) 1 0 0 0 1 1 0/0 0/0
L2(19):2 1 0 0 0 1 0 0/0 0/0
41:40 1 0 0 0 1 0 0/0 0/0
J4 J4 2 1 1 1 0 3 71/71 13/13
Ru Ru 1 0 1 1 1 19 11/38 32/15
2.Ru 1 0 0 0 1 8 0/0 0/0
J3 J3 1 1 1 1 9 33 21/21 9/9
3.J3 1 2 0 0 1 19 0/0 0/0
J3:2 1 1 1 1 1 31 9/30 19/9
3.J3:2 1 0 0 0 0 1 0/0 0/0
O'N O'N 1 0 1 1 1 8 10/37 13/13
3.O'N 1 0 0 0 1 3 0/0 0/0
O'N:2 1 0 1 1 1 6 0/45 10/10
3.O'N:2 1 0 0 0 1 2 0/0 0/0
O'N:4 1 0 0 0 0 1 0/0 0/0
J1 J1 1 1 1 1 7 84 25/15 7/7
Ly Ly 1 0 1 0 0 6 53/53 9/9
T 2F4(2)' 1 1 0 0 6 31 22/22 8/8
2F4(2)'.2 1 1 0 0 2 13 0/0 1/7