Character Table info for L2(11)
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Name:
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L2(11)
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Group order:
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660 = 22 ⋅ 3 ⋅ 5 ⋅ 11
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Number of classes:
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8
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
60 |
11 |
A5 |
A5 |
2 |
60 |
11 |
A5 |
A5 |
3 |
55 |
12 |
11:5 |
11:5 |
4 |
12 |
55 |
S3 × 2 |
S3x2 |
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
11 |
55 |
12 |
11:5 |
11:5 |
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Available Brauer tables:
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Atlas representations:
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35 available
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Group constructions in GAP:
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AtlasGroup( "L2(11)" )
,
AtlasStabilizer( "J1", "J1G1-p266B0" )
,
AtlasStabilizer( "M11", "M11G1-p12B0" )
,
AtlasStabilizer( "M12", "M12G1-p144aB0" )
,
AtlasStabilizer( "M22", "M22G1-p672B0" )
,
AtlasStabilizer( "U5(2)", "U52G1-p20736B0" )
,
AtlasSubgroup( "J1", 1 )
,
AtlasSubgroup( "L2(11).2", 1 )
,
AtlasSubgroup( "M11", 2 )
,
AtlasSubgroup( "M12", 5 )
,
AtlasSubgroup( "M22", 8 )
,
AtlasSubgroup( "U5(2)", 6 )
,
POmega( 3, 11 )
,
PSL( 2, 11 )
,
PSU( 2, 11 )
,
PSp( 2, 11 )
,
PerfectGroup( 660, 1 )
,
PrimitiveGroup( 11, 5 )
,
PrimitiveGroup( 12, 3 )
,
PrimitiveGroup( 55, 1 )
,
SmallGroup( 660, 13 )
,
TransitiveGroup( 11, 5 )
,
TransitiveGroup( 12, 179 )
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Stored class fusions from this table:
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J1,
L2(11).2,
M11,
M12,
M22,
U5(2)
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Stored class fusions to this table:
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2.(2 × L2(11)),
2.L2(11),
11:5,
A5,
P43/G1/L1/V1/ext2,
P43/G2/L1/V1/ext2,
P43/G3/L1/V1/ext2,
P43/G3/L1/V2/ext2,
S3 × 2