Character Table info for L2(8)
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Name:
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L2(8)
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Group order:
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504 = 23 ⋅ 32 ⋅ 7
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Number of classes:
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9
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
56 |
9 |
23:7 |
2^3:7 |
2 |
18 |
28 |
D18 |
D18 |
3 |
14 |
36 |
D14 |
D14 |
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Available Brauer tables:
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Atlas representations:
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29 available
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Group constructions in GAP:
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AtlasGroup( "L2(8)" )
,
POmega( 3, 8 )
,
PSL( 2, 8 )
,
PSU( 2, 8 )
,
PSp( 2, 8 )
,
PerfectGroup( 504, 1 )
,
PrimitiveGroup( 9, 8 )
,
PrimitiveGroup( 28, 2 )
,
PrimitiveGroup( 36, 1 )
,
SmallGroup( 504, 156 )
,
TransitiveGroup( 9, 27 )
,
TransitiveGroup( 28, 70 )
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Stored class fusions from this table:
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L2(8).3
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Stored class fusions to this table:
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23:7,
D14,
D18,
P41/G1/L1/V1/ext2,
P41/G1/L1/V1/ext3,
P41/G1/L1/V2/ext2,
P41/G1/L1/V3/ext3,
P41/G1/L1/V4/ext2,
P41/G1/L1/V4/ext3,
P41/G2/L1/V1/ext2,
P41/G2/L1/V1/ext3