Character Table info for 2.A6
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Name:
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2.A6
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Group order:
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720 = 24 ⋅ 32 ⋅ 5
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Number of classes:
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13
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]
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Maximal subgroups:
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| |
Order |
Index |
Structure |
Name |
| 1 |
120 |
6 |
2.A5 |
2.A5 |
| 2 |
120 |
6 |
2.A5 |
2.A6M2 |
| 3 |
72 |
10 |
32:8 |
3^2:8 |
| 4 |
48 |
15 |
2.S4 |
2.Symm(4) |
| 5 |
48 |
15 |
2.S4 |
2.A6M5 |
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Stored Sylow p normalizers:
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| p |
Order |
Index |
Structure |
Name |
| 2 |
16 |
45 |
2.D8 |
2.D8 |
| 3 |
72 |
10 |
32:8 |
3^2:8 |
| 5 |
20 |
36 |
2.D10 |
bd10 |
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Available Brauer tables:
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Atlas representations:
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18 available
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Group constructions in GAP:
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AtlasGroup( "2.A6" ),
AtlasSubgroup( "2.A7", 1 ),
PerfectGroup( 720, 1 ),
SmallGroup( 720, 409 )
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Stored class fusions from this table:
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2.A6.21,
2.A6.22,
2.A7,
A6
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Stored class fusions to this table:
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2.A5,
2.A5,
2.S4,
2.D8,
2.S4,
32:8,
34:2.A6,
6.A6,
2.D10