Character Table info for 2.L3(2)
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Name:
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2.L3(2)
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Group order:
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336 = 24 ⋅ 3 ⋅ 7
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Number of classes:
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11
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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 |
48 |
7 |
2.S4 |
2.Symm(4) |
2 |
48 |
7 |
2.S4 |
2.Symm(4) |
3 |
42 |
8 |
2 × 7:3 |
2x7:3 |
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
2 |
16 |
21 |
2.D8 |
2.D8 |
3 |
12 |
28 |
2.S3 |
2.S3 |
7 |
42 |
8 |
2 × 7:3 |
2x7:3 |
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Available Brauer tables:
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Atlas representations:
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13 available
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Group constructions in GAP:
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AtlasGroup( "2.L3(2)" )
,
AtlasSubgroup( "2.A7", 2 )
,
AtlasSubgroup( "2.L3(2).2", 1 )
,
AtlasSubgroup( "Isoclinic(2.L3(2).2)", 1 )
,
PerfectGroup( 336, 1 )
,
SL( 2, 7 )
,
SmallGroup( 336, 114 )
,
TransitiveGroup( 16, 715 )
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Stored class fusions from this table:
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2.A7,
2.L3(2).2,
Isoclinic(2.L3(2).2),
L3(2)
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Stored class fusions to this table:
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2.D8,
2.S3,
2.S4,
2 × 7:3,
72:2L2(7),
71+2.Sp(2, 7),
P12/G1/L2/V1/ext2,
P12/G1/L2/V1/ext3