Character Table info for Co3
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Name:
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Co3
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Group order:
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495766656000 = 210 ⋅ 37 ⋅ 53 ⋅ 7 ⋅ 11 ⋅ 23
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Number of classes:
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42
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,23]
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Maximal subgroups:
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
2 |
1024 |
484147125 |
Co3N2 |
Co3N2 |
3 |
69984 |
7084000 |
Co3N3 |
Co3N3 |
5 |
6000 |
82627776 |
51+2:(24:2) |
5^(1+2):(24:2) |
7 |
252 |
1967328000 |
S3 × 7:6 |
S3x7:6 |
11 |
110 |
4506969600 |
2 × 11:5 |
2x11:5 |
23 |
253 |
1959552000 |
23:11 |
23:11 |
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Available Brauer tables:
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Atlas representations:
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39 available
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Group constructions in GAP:
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AtlasGroup( "Co3" )
,
AtlasStabilizer( "Co1", "Co1G1-p8386560B0" )
,
AtlasSubgroup( "Co1", 4 )
,
PrimitiveGroup( 276, 3 )
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Stored class fusions from this table:
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Co1
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Stored class fusions to this table:
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2.23.25.S3,
2.24.24.S3,
2.26.L3(2),
2.(25:S6),
2.S6(2),
22.[27*32].S3,
23.(2 × 23.L3(2)),
24.A8,
2 × 11:5,
2 × M12,
31+4+:4S6,
35:(2 × M11),
4.24.S5,
5:4 × A5,
51+2:(24:2),
23:11,
(22 × 4).25.S3,
(2 × 42).24.S3,
Co3N2,
Co3N3,
HS,
L3(4).D12,
M23,
McL,
McL.2,
S3 × 7:6,
U3(5).2,
U3(5).3.2,
U4(3),
U4(3).(22)133,
A4 × S5,
c3d2,
S3 × L2(8).3