Character Table info for 2.A7
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Name:
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2.A7
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Group order:
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5040 = 24 ⋅ 32 ⋅ 5 ⋅ 7
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Number of classes:
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16
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
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Maximal subgroups:
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
2 |
16 |
315 |
2.D8 |
2.D8 |
3 |
72 |
70 |
32:8 |
3^2:8 |
5 |
40 |
126 |
5:8 |
5:8 |
7 |
42 |
120 |
2 × 7:3 |
2x7:3 |
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Available Brauer tables:
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Atlas representations:
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24 available
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Group constructions in GAP:
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AtlasGroup( "2.A7" )
,
AtlasSubgroup( "2.Suz", 17 )
,
PerfectGroup( 5040, 1 )
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Stored class fusions from this table:
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2.A7.2,
2.A8,
2.Suz,
A7,
Isoclinic(2.A7.2)
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Stored class fusions to this table:
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2.A6,
2.D8,
2.L3(2),
2.S4,
2 × 7:3,
32:8,
5:8,
6.A7,
(2.A4 × 3).2,
Isoclinic(2.A5.2)