Character Table info for 3.A6.21
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Name:
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3.A6.2_1
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Group order:
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2160 = 24 ⋅ 33 ⋅ 5
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Number of classes:
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16
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]
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Some maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
1080 |
2 |
3.A6 |
3.A6 |
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
3 |
216 |
10 |
31+2:D8 |
3^(1+2):D8 |
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Available Brauer tables:
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Atlas representations:
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4 available
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Group constructions in GAP:
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AtlasGroup( "3.A6.2_1" )
,
TransitiveGroup( 18, 365 )
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Stored class fusions from this table:
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26:3.S6,
3.A6.22,
S6,
M24
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Stored class fusions to this table:
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26:3.S6,
24+6:3S6,
3.A6,
31+2:D8,
6.A6.21