Character Table info for Co2
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Name:
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Co2
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Group order:
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42305421312000 = 218 ⋅ 36 ⋅ 53 ⋅ 7 ⋅ 11 ⋅ 23
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Number of classes:
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60
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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 |
262144 |
161382375 |
Co2N2 |
Co2N2 |
3 |
23328 |
1813504000 |
31+4+:(S3 × QD16) |
3^(1+4)_+:(S3xQD16) |
5 |
12000 |
3525451776 |
51+2:4S4 |
5^(1+2):4S4 |
7 |
336 |
125908992000 |
Co2N7 |
Co2N7 |
11 |
110 |
384594739200 |
11:10 |
11:10 |
23 |
253 |
167215104000 |
23:11 |
23:11 |
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Available Brauer tables:
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Atlas representations:
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31 available
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Group constructions in GAP:
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AtlasGroup( "Co2" )
,
AtlasStabilizer( "Co1", "Co1G1-p98280B0" )
,
AtlasSubgroup( "Co1", 1 )
,
PrimitiveGroup( 2300, 1 )
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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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(21+6+ × 24).A8,
21+8+:S6(2),
23.(2 × 21+3+3+3.L3(2)),
210.23.23.S3,
210:(25:s5),
210:M22:2,
21+1+2+4.(2 × 22+4.S32),
21+1+3+3.(2 × 23+3.L3(2)),
21+8+.22.22.24.S3,
21+8+.23.22.23.S3,
21+8+.23.25.S3,
21+8+.25.S4(2),
21+22.Co2,
2(4+10)(S5 × S3),
24+10.(S4 × S3),
31+4+:21+4−.S5,
34.A6.D8,
31+4+:(S3 × QD16),
5:4 × S5,
51+2:4S4,
11:10,
23:11,
Co2N2,
Co2N7,
HS.2,
M23,
McL,
S3 × U4(2).2,
U4(3).D8,
U6(2).2