Character Table info for U3(4)
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Name:
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U3(4)
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Group order:
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62400 = 26 ⋅ 3 ⋅ 52 ⋅ 13
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Number of classes:
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22
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InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
960 |
65 |
22+4:15 |
2^(2+4):15 |
2 |
300 |
208 |
5 × A5 |
5xA5 |
3 |
150 |
416 |
52:S3 |
5^2:S3 |
4 |
39 |
1600 |
13:3 |
13:3 |
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Available Brauer tables:
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-
Atlas representations:
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64 available
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Group constructions in GAP:
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AtlasGroup( "U3(4)" )
,
AtlasSubgroup( "U3(4).2", 1 )
,
PSU( 3, 4 )
,
PerfectGroup( 62400, 1 )
,
PrimitiveGroup( 65, 3 )
,
PrimitiveGroup( 208, 1 )
,
PrimitiveGroup( 416, 1 )
,
PrimitiveGroup( 1600, 17 )
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Stored class fusions from this table:
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U3(4).2,
U3(4).4
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Stored class fusions to this table:
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22+4:15,
52:S3,
5 × A5,
13:3