Character Table info for L3(4).22
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Name:
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L3(4).2_2
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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 |
5 |
20 |
2016 |
5:4 |
5:4 |
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Available Brauer tables:
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Group constructions in GAP:
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AtlasStabilizer( "M22.2", "M22d2G1-p22B0" )
,
AtlasStabilizer( "M23", "M23G1-p253aB0" )
,
AtlasStabilizer( "McL", "McLG1-p22275aB0" )
,
AtlasSubgroup( "M22.2", 2 )
,
AtlasSubgroup( "M23", 2 )
,
AtlasSubgroup( "McL", 7 )
,
PrimitiveGroup( 21, 5 )
,
PrimitiveGroup( 56, 2 )
,
PrimitiveGroup( 120, 7 )
,
PrimitiveGroup( 280, 5 )
,
TransitiveGroup( 21, 85 )
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Stored class fusions from this table:
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L3(4).22,
L3(4).3.22,
M22.2,
M23,
McL,
U4(3).21
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Stored class fusions to this table:
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2.L3(4).22,
22.L3(4).22,
24:S5,
3.L3(4).22,
32:Q8.2,
41.L3(4).22,
42.L3(4).22,
5:4,
6.L3(4).22,
121.L3(4).22,
122.L3(4).22,
(22 × 3).L3(4).22,
S6,
L3(4)