Character Table info for L3(4).23
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Name:
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L3(4).2_3
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Group order:
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40320 = 27 ⋅ 32 ⋅ 5 ⋅ 7
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Number of classes:
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14
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
7 |
42 |
960 |
7:6 |
7:6 |
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Available Brauer tables:
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Group constructions in GAP:
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PrimitiveGroup( 56, 3 )
,
PrimitiveGroup( 105, 1 )
,
PrimitiveGroup( 120, 8 )
,
PrimitiveGroup( 280, 4 )
,
PrimitiveGroup( 336, 1 )
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Stored class fusions from this table:
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L3(4).22,
L3(4).3.23,
U4(3).23
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Stored class fusions to this table:
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2.L3(4).23,
22.L3(4).23,
2 × A5,
3.L3(4).23,
32:Q8.2,
41.L3(4).23,
42.L3(4).23,
6.L3(4).23,
7:6,
121.L3(4).23,
122.L3(4).23,
(22 × 3).L3(4).23,
A6.22,
L3(2).2,
L3(4)