Character Table info for A13.2
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Name:
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A13.2
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Group order:
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6227020800 = 210 ⋅ 35 ⋅ 52 ⋅ 7 ⋅ 11 ⋅ 13
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Number of classes:
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101
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13],
constructions: Aut(A13)
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
3113510400 |
2 |
A13 |
A13 |
2 |
479001600 |
13 |
S12 |
A12.2 |
3 |
79833600 |
78 |
S11 × 2 |
S11x2 |
4 |
21772800 |
286 |
S10 × S3 |
S10xS3 |
5 |
8709120 |
715 |
S9 × S4 |
S9xS4 |
6 |
4838400 |
1287 |
S8 × S5 |
S8xS5 |
7 |
3628800 |
1716 |
S7 × S6 |
S7xS6 |
8 |
156 |
39916800 |
13:12 |
13:12 |
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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( "A13.2" )
,
AtlasStabilizer( "A14.2", "S14G1-p14B0" )
,
AutomorphismGroup( AlternatingGroup( 13 ) )
,
PrimitiveGroup( 13, 9 )
,
PrimitiveGroup( 78, 4 )
,
PrimitiveGroup( 286, 2 )
,
PrimitiveGroup( 715, 2 )
,
PrimitiveGroup( 1287, 2 )
,
PrimitiveGroup( 1716, 2 )
,
SymmetricGroup( 13 )
,
TransitiveGroup( 13, 9 )
,
TransitiveGroup( 26, 83 )
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Stored class fusions from this table:
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A14.2
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Stored class fusions to this table:
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2.A13.2,
13:12,
S12,
A13,
Isoclinic(2.A13.2),
S7 × S6,
S8 × S5,
S9 × S4,
S10 × S3,
S11 × 2