Character Table info for 2F4(2)'
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Name:
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2F4(2)'
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Group order:
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17971200 = 211 ⋅ 33 ⋅ 52 ⋅ 13
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Number of classes:
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22
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r.
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Maximal subgroups:
-
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
2 |
2048 |
8775 |
2F4(2)'N2 |
2F4(2)'N2 |
3 |
216 |
83200 |
31+2:D8 |
3^(1+2):D8 |
5 |
1200 |
14976 |
52:4A4 |
5^2:4A4 |
13 |
78 |
230400 |
13:6 |
13:6 |
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Available Brauer tables:
-
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Atlas representations:
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37 available
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Group constructions in GAP:
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AtlasGroup( "2F4(2)'" )
,
AtlasStabilizer( "Fi22", "F22G1-p3592512B0" )
,
AtlasSubgroup( "2F4(2)'.2", 1 )
,
AtlasSubgroup( "Fi22", 9 )
,
PrimitiveGroup( 1600, 20 )
,
PrimitiveGroup( 1755, 1 )
,
PrimitiveGroup( 2304, 9 )
,
PrimitiveGroup( 2925, 1 )
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Stored class fusions from this table:
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2F4(2)'.2,
Fi22,
Ru
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Stored class fusions to this table:
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2.[28]:5:4,
L3(3).2,
A6.22,
2F4(2)'N2,
22.[28]:S3,
32.2.S4,
31+2:D8,
52:4A4,
13:6,
A6.22,
L2(25),
L3(3),
L3(3).2