Character Table info for L2(25)
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Name:
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L2(25)
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Group order:
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7800 = 23 ⋅ 3 ⋅ 52 ⋅ 13
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Number of classes:
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15
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InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
300 |
26 |
52:12 |
5^2:12 |
2 |
120 |
65 |
S5 |
A5.2 |
3 |
120 |
65 |
S5 |
L2(25)M3 |
4 |
26 |
300 |
D26 |
D26 |
5 |
24 |
325 |
D24 |
D24 |
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Available Brauer tables:
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Group constructions in GAP:
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AtlasStabilizer( "2F4(2)'", "TF42G1-p2304B0" )
,
AtlasSubgroup( "2F4(2)'", 4 )
,
AtlasSubgroup( "Suz", 16 )
,
POmega( -1, 4, 5 )
,
POmega( 3, 25 )
,
PSL( 2, 25 )
,
PSU( 2, 25 )
,
PSp( 2, 25 )
,
PerfectGroup( 7800, 1 )
,
PrimitiveGroup( 26, 1 )
,
PrimitiveGroup( 65, 1 )
,
PrimitiveGroup( 300, 1 )
,
PrimitiveGroup( 325, 6 )
,
TransitiveGroup( 26, 42 )
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Stored class fusions from this table:
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2F4(2)',
L2(25).21,
L2(25).22,
L2(25).23,
Suz
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Stored class fusions to this table:
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2.L2(25),
52:12,
S5,
D24,
D26,
S5