Character Table info for 2.L2(11)
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Name:
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2.L2(11)
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Group order:
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1320 = 23 ⋅ 3 ⋅ 5 ⋅ 11
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Number of classes:
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15
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
120 |
11 |
2.A5 |
2.A5 |
2 |
120 |
11 |
2.A5 |
2.A5 |
3 |
110 |
12 |
2 × 11:5 |
2x11:5 |
4 |
24 |
55 |
2.D12 |
2.D12 |
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Available Brauer tables:
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Atlas representations:
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5 available
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Group constructions in GAP:
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AtlasGroup( "2.L2(11)" )
,
AtlasSubgroup( "2.M12", 5 )
,
PerfectGroup( 1320, 1 )
,
SL( 2, 11 )
,
SmallGroup( 1320, 13 )
,
TransitiveGroup( 24, 2947 )
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Stored class fusions from this table:
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2.L2(11).2,
2.M12,
L2(11)
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Stored class fusions to this table:
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2.A5,
2.D12,
2 × 11:5