Character Table info for L2(17)
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Name:
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L2(17)
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Group order:
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2448 = 24 ⋅ 32 ⋅ 17
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Number of classes:
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11
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,17]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
136 |
18 |
17:8 |
17:8 |
2 |
24 |
102 |
S4 |
s4 |
3 |
24 |
102 |
S4 |
s4 |
4 |
18 |
136 |
D18 |
D18 |
5 |
16 |
153 |
D16 |
D16 |
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Available Brauer tables:
-
-
Atlas representations:
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29 available
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Group constructions in GAP:
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AtlasGroup( "L2(17)" )
,
AtlasStabilizer( "J3", "J3G1-p20520B0" )
,
AtlasSubgroup( "J3", 5 )
,
POmega( 3, 17 )
,
PSL( 2, 17 )
,
PSU( 2, 17 )
,
PSp( 2, 17 )
,
PerfectGroup( 2448, 1 )
,
PrimitiveGroup( 18, 1 )
,
PrimitiveGroup( 102, 1 )
,
PrimitiveGroup( 136, 1 )
,
PrimitiveGroup( 153, 1 )
,
TransitiveGroup( 18, 377 )
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Stored class fusions from this table:
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J3,
L2(17).2,
S8(2)
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Stored class fusions to this table:
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2.L2(17),
17:8,
D16,
D18,
S4