Character Table info for Sz(8)
-
Name:
-
Sz(8)
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Group order:
-
29120 = 26 ⋅ 5 ⋅ 7 ⋅ 13
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Number of classes:
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11
-
InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r.
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Maximal subgroups:
-
|
Order |
Index |
Structure |
Name |
1 |
448 |
65 |
23+3:7 |
2^(3+3):7 |
2 |
52 |
560 |
13:4 |
13:4 |
3 |
20 |
1456 |
5:4 |
5:4 |
4 |
14 |
2080 |
D14 |
D14 |
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Stored Sylow p normalizers:
-
p |
Order |
Index |
Structure |
Name |
2 |
448 |
65 |
23+3:7 |
2^(3+3):7 |
5 |
20 |
1456 |
5:4 |
5:4 |
7 |
14 |
2080 |
D14 |
D14 |
13 |
52 |
560 |
13:4 |
13:4 |
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Available Brauer tables:
-
-
Atlas representations:
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36 available
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Group constructions in GAP:
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AtlasGroup( "Sz(8)" )
,
AtlasSubgroup( "Sz(8).3", 1 )
,
PerfectGroup( 29120, 1 )
,
PrimitiveGroup( 65, 6 )
,
PrimitiveGroup( 560, 1 )
,
PrimitiveGroup( 1456, 1 )
,
PrimitiveGroup( 2080, 1 )
,
SuzukiGroup( 8 )
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Stored class fusions from this table:
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Sz(8).3
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Stored class fusions to this table:
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2.Sz(8),
22.Sz(8),
212:Sz(8),
23+3:7,
5:4,
13:4,
D14