Character Table info for S11
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Name:
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A11.2
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Group order:
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39916800 = 28 ⋅ 34 ⋅ 52 ⋅ 7 ⋅ 11
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Number of classes:
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56
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InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11],
constructions: Aut(A11)
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
19958400 |
2 |
A11 |
A11 |
2 |
3628800 |
11 |
S10 |
A10.2 |
3 |
725760 |
55 |
S9 × 2 |
S9x2 |
4 |
241920 |
165 |
S8 × S3 |
S8xS3 |
5 |
120960 |
330 |
S7 × S4 |
S7xS4 |
6 |
86400 |
462 |
S6 × S5 |
S6xS5 |
7 |
110 |
362880 |
11:10 |
11:10 |
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Available Brauer tables:
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Atlas representations:
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2 available
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Group constructions in GAP:
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AtlasGroup( "A11.2" )
,
AtlasStabilizer( "A12.2", "S12G1-p12B0" )
,
AtlasStabilizer( "A13", "A13G1-p78B0" )
,
AutomorphismGroup( AlternatingGroup( 11 ) )
,
PrimitiveGroup( 11, 8 )
,
PrimitiveGroup( 55, 6 )
,
PrimitiveGroup( 165, 5 )
,
PrimitiveGroup( 330, 4 )
,
PrimitiveGroup( 462, 4 )
,
SymmetricGroup( 11 )
,
TransitiveGroup( 11, 8 )
,
TransitiveGroup( 22, 45 )
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Stored class fusions from this table:
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S12,
A13
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Stored class fusions to this table:
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2.A11.2,
11:10,
S10,
A11,
Isoclinic(2.A11.2),
S6 × S5,
S7 × S4,
S8 × S3,
S9 × 2