Character Table info for 3.L3(4)
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Name:
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3.L3(4)
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Group order:
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60480 = 26 ⋅ 33 ⋅ 5 ⋅ 7
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Number of classes:
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28
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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 |
3 |
216 |
280 |
31+2+:Q8 |
3^(1+2)_+:Q8 |
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Available Brauer tables:
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Atlas representations:
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25 available
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Group constructions in GAP:
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AtlasGroup( "3.L3(4)" )
,
AtlasSubgroup( "3.M22", 1 )
,
PerfectGroup( 60480, 1 )
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Stored class fusions from this table:
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3.L3(4).21,
3.L3(4).22,
3.L3(4).23,
3.L3(4).3,
3.L3(4).6,
3.M22,
L3(4)
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Stored class fusions to this table:
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3.A6,
3.A6,
3.A6,
3 × L3(2),
3 × L3(2),
29:3.L3(4),
31+2+:Q8,
3 × 24:A5,
3 × L3(2),
6.L3(4),
210:3.L3(4),
121.L3(4),
122.L3(4),
(22 × 3).L3(4),
210:6.L3(4)