Character Table info for A14
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Name:
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A14
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Group order:
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43589145600 = 210 ⋅ 35 ⋅ 52 ⋅ 72 ⋅ 11 ⋅ 13
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Number of classes:
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72
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InfoText value:
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origin: CAS library,
names:= a14
order: 2^10.3^5.5^2.7^2.11.13 = 43589145600
number of classes: 72
source: stockhofe [aachen] from table of s14 (kerber,bayreuth)
comments: alternating group
test: orth, min
tests: 1.o.r., pow[2,3,5,7,11,13]
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Some maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
3113510400 |
14 |
A13 |
A13 |
2 |
479001600 |
91 |
S12 |
A12.2 |
6 |
21772800 |
2002 |
(A5 × A9):2 |
(A5xA9):2 |
8 |
322560 |
135135 |
26:S7 |
2^6:S7 |
9 |
1092 |
39916800 |
L2(13) |
L2(13) |
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Available Brauer tables:
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Atlas representations:
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28 available
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Group constructions in GAP:
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AlternatingGroup( 14 )
,
AtlasGroup( "A14" )
,
PrimitiveGroup( 14, 3 )
,
PrimitiveGroup( 91, 5 )
,
PrimitiveGroup( 364, 6 )
,
PrimitiveGroup( 1001, 1 )
,
PrimitiveGroup( 1716, 3 )
,
PrimitiveGroup( 2002, 1 )
,
PrimitiveGroup( 3003, 1 )
,
TransitiveGroup( 14, 62 )
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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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26:S7,
(A5 × A9):2,
S12,
A13,
L2(13)