Character Table info for L2(13)
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Name:
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L2(13)
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Group order:
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1092 = 22 ⋅ 3 ⋅ 7 ⋅ 13
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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[2,3,7,13]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
78 |
14 |
13:6 |
13:6 |
2 |
14 |
78 |
D14 |
D14 |
3 |
12 |
91 |
S3 × 2 |
S3x2 |
4 |
12 |
91 |
A4 |
a4 |
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Available Brauer tables:
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-
Atlas representations:
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23 available
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Group constructions in GAP:
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AtlasGroup( "L2(13)" )
,
AtlasSubgroup( "G2(3)", 9 )
,
AtlasSubgroup( "G2(4)", 8 )
,
AtlasSubgroup( "S6(3)", 9 )
,
AtlasSubgroup( "S6(3)", 10 )
,
POmega( 3, 13 )
,
PSL( 2, 13 )
,
PSU( 2, 13 )
,
PSp( 2, 13 )
,
PerfectGroup( 1092, 1 )
,
PrimitiveGroup( 14, 1 )
,
PrimitiveGroup( 78, 1 )
,
PrimitiveGroup( 91, 1 )
,
PrimitiveGroup( 91, 3 )
,
SmallGroup( 1092, 25 )
,
TransitiveGroup( 14, 30 )
,
TransitiveGroup( 28, 120 )
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Stored class fusions from this table:
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A14,
G2(3),
G2(4),
L2(13).2,
S6(3)
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Stored class fusions to this table:
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2.L2(13),
13:6,
D14,
S3 × 2,
A4