Character Table info for L2(23)
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Name:
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L2(23)
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Group order:
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6072 = 23 ⋅ 3 ⋅ 11 ⋅ 23
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Number of classes:
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14
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,11,23]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
253 |
24 |
23:11 |
23:11 |
2 |
24 |
253 |
S4 |
s4 |
3 |
24 |
253 |
S4 |
s4 |
4 |
24 |
253 |
D24 |
D24 |
5 |
22 |
276 |
D22 |
D22 |
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Available Brauer tables:
-
-
Atlas representations:
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31 available
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Group constructions in GAP:
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AtlasGroup( "L2(23)" )
,
AtlasSubgroup( "Fi23", 14 )
,
AtlasSubgroup( "M24", 8 )
,
POmega( 3, 23 )
,
PSL( 2, 23 )
,
PSU( 2, 23 )
,
PSp( 2, 23 )
,
PerfectGroup( 6072, 1 )
,
PrimitiveGroup( 24, 2 )
,
PrimitiveGroup( 253, 1 )
,
PrimitiveGroup( 253, 3 )
,
PrimitiveGroup( 276, 1 )
,
TransitiveGroup( 24, 7817 )
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Stored class fusions from this table:
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Fi23,
L2(23).2,
M24
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Stored class fusions to this table:
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2.L2(23),
23:11,
D22,
D24,
S4