Character Table info for 2.A5.2
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Name:
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2.A5.2
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Group order:
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240 = 24 ⋅ 3 ⋅ 5
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Number of classes:
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12
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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 |
2 |
2.A5 |
2.A5 |
2 |
48 |
5 |
2.S4 |
2.S4 |
3 |
40 |
6 |
5:8 |
5:8 |
4 |
24 |
10 |
(22 × 3).2 |
(2^2x3).2 |
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Available Brauer tables:
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Atlas representations:
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11 available
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Group constructions in GAP:
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AtlasGroup( "2.A5.2" )
,
SmallGroup( 240, 90 )
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Stored class fusions from this table:
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2.A6.21,
S5,
U3(5)
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Stored class fusions to this table:
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2.A5,
2.S4,
5:8,
(2.A5 × 2.J2).2,
(2.A5 × D10).2,
(22 × 3).2