Character Table info for L2(27)
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Name:
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L2(27)
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Group order:
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9828 = 22 ⋅ 33 ⋅ 7 ⋅ 13
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Number of classes:
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16
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,13]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
351 |
28 |
33:13 |
3^3:13 |
2 |
28 |
351 |
D28 |
D28 |
3 |
26 |
378 |
D26 |
D26 |
4 |
12 |
819 |
A4 |
a4 |
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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( "L2(27)" )
,
POmega( 3, 27 )
,
PSL( 2, 27 )
,
PSU( 2, 27 )
,
PSp( 2, 27 )
,
PerfectGroup( 9828, 1 )
,
PrimitiveGroup( 28, 9 )
,
PrimitiveGroup( 351, 1 )
,
PrimitiveGroup( 378, 1 )
,
PrimitiveGroup( 819, 1 )
,
TransitiveGroup( 28, 359 )
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Stored class fusions from this table:
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L2(27).2,
L2(27).3,
L2(27).6
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Stored class fusions to this table:
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2.L2(27),
33:13,
D26,
D28,
A4