Character Table info for L2(29)
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Name:
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L2(29)
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Group order:
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12180 = 22 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 29
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Number of classes:
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17
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,29]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
406 |
30 |
29:14 |
29:14 |
2 |
60 |
203 |
A5 |
A5 |
3 |
60 |
203 |
A5 |
A5 |
4 |
30 |
406 |
D30 |
D30 |
5 |
28 |
435 |
D28 |
D28 |
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Available Brauer tables:
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-
Atlas representations:
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31 available
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Group constructions in GAP:
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AtlasGroup( "L2(29)" )
,
AtlasSubgroup( "Ru", 9 )
,
POmega( 3, 29 )
,
PSL( 2, 29 )
,
PSU( 2, 29 )
,
PSp( 2, 29 )
,
PerfectGroup( 12180, 1 )
,
PrimitiveGroup( 30, 1 )
,
PrimitiveGroup( 203, 1 )
,
PrimitiveGroup( 406, 1 )
,
PrimitiveGroup( 435, 1 )
,
SmallGroup( 12180, 167 )
,
TransitiveGroup( 30, 808 )
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Stored class fusions from this table:
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L2(29).2,
Ru
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Stored class fusions to this table:
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2.L2(29),
29:14,
A5,
D28,
D30