Character Table info for L3(5)
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Name:
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L3(5)
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Group order:
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372000 = 25 ⋅ 3 ⋅ 53 ⋅ 31
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Number of classes:
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30
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InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,31]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
12000 |
31 |
52:4S5 |
5^2:4s5 |
2 |
12000 |
31 |
52:4S5 |
5^2:4s5 |
3 |
120 |
3100 |
S5 |
A5.2 |
4 |
96 |
3875 |
42:S3 |
4^2:s3 |
5 |
93 |
4000 |
31:3 |
31:3 |
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Available Brauer tables:
-
-
Atlas representations:
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24 available
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Group constructions in GAP:
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AtlasGroup( "L3(5)" )
,
AtlasSubgroup( "L3(5).2", 1 )
,
PSL( 3, 5 )
,
PerfectGroup( 372000, 1 )
,
PrimitiveGroup( 31, 9 )
,
PrimitiveGroup( 3100, 1 )
,
PrimitiveGroup( 3875, 1 )
,
PrimitiveGroup( 4000, 1 )
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Stored class fusions from this table:
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L3(5).2
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Stored class fusions to this table:
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42:S3,
52:4S5,
53.L3(5),
53+3.(2 × L3(5)),
31:3,
S5