Character Table info for Co1
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Name:
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Co1
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Group order:
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4157776806543360000 = 221 ⋅ 39 ⋅ 54 ⋅ 72 ⋅ 11 ⋅ 13 ⋅ 23
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Number of classes:
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101
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,23]
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Maximal subgroups:
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
3 |
157464 |
26404618240000 |
Co1N3 |
Co1N3 |
5 |
10000 |
415777680654336 |
Co1N5 |
Co1N5 |
7 |
3528 |
1178508165120000 |
72:(3 × 2A4) |
7^2:(3x2A4) |
11 |
660 |
6299661828096000 |
11:10 × S3 |
11:10xS3 |
13 |
1872 |
2221034618880000 |
(13:6 × A4).2 |
(13:6xA4).2 |
23 |
253 |
16433900421120000 |
23:11 |
23:11 |
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Available Brauer tables:
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Atlas representations:
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20 available
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Group constructions in GAP:
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AtlasGroup( "Co1" )
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Stored class fusions to this table:
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2.Co1,
21+24.2.Co1,
21+24.Co1,
211:M24,
224.Co1,
2(1+8)+.O8+(2),
22+12:(A8 × S3),
24+12.(S3 × 3S6),
24+12.(S3 × 31+2+:D8),
3.Suz.2,
32.U4(3).D8,
36:2M12,
31+4+.2U4(2),
31+4.2U4(2).2,
33+4:2(S4 × S4),
52:2A5,
53:(4 × S5),
51+2:GL2(5),
72:(3 × 2A4),
11:10 × S3,
23:11,
(7:3 × A7):2,
(13:6 × A4).2,
(A4 × G2(4)):2,
(A5 × J2):2,
(A6 × U3(3)):2,
(A7 × L2(7)):2,
(D10 × (A5 × A5).2).2,
(D10 × J2).2,
A9 × S3,
Co1N3,
Co1N5,
Co2,
Co3,
D8 × U3(3).2,
NDG(Co1, 52),
S4 × U3(3).2,
U6(2).3.2