Character Table info for L3(7).2
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Name:
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L3(7).2
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Group order:
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3753792 = 26 ⋅ 32 ⋅ 73 ⋅ 19
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Number of classes:
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26
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InfoText value:
-
origin: ATLAS of finite groups,
2nd power map determined only up to matrix automorphism (9,10)
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Duplicates:
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ONM2
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Some maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
1876896 |
2 |
L3(7) |
L3(7) |
2 |
8232 |
456 |
71+2:(D8 × 3) |
7^(1+2):(D8x3) |
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Available Brauer tables:
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Atlas representations:
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18 available
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Group constructions in GAP:
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AtlasGroup( "L3(7).2" )
,
AtlasStabilizer( "ON", "ONG1-p122760aB0" )
,
AtlasStabilizer( "ON", "ONG1-p122760bB0" )
,
AtlasSubgroup( "ON", 1 )
,
AtlasSubgroup( "ON", 2 )
,
PrimitiveGroup( 456, 1 )
,
PrimitiveGroup( 2793, 1 )
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Stored class fusions from this table:
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L3(7).S3,
ON
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Stored class fusions to this table:
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3.L3(7).2,
71+2:(D8 × 3),
L3(7)