Character Table info for J1
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Name:
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J1
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Group order:
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175560 = 23 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 19
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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[2,3,5,7,11,19]
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Maximal subgroups:
-
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
2 |
168 |
1045 |
23:7:3 |
2^3.7.3 |
3 |
60 |
2926 |
D6 × D10 |
D6xD10 |
5 |
60 |
2926 |
D6 × D10 |
D6xD10 |
7 |
42 |
4180 |
7:6 |
7:6 |
11 |
110 |
1596 |
11:10 |
11:10 |
19 |
114 |
1540 |
19:6 |
19:6 |
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Available Brauer tables:
-
-
Atlas representations:
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91 available
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Group constructions in GAP:
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AtlasGroup( "J1" )
,
AtlasSubgroup( "ON", 3 )
,
PerfectGroup( 175560, 1 )
,
PrimitiveGroup( 266, 1 )
,
PrimitiveGroup( 1045, 1 )
,
PrimitiveGroup( 1463, 1 )
,
PrimitiveGroup( 1540, 1 )
,
PrimitiveGroup( 1596, 1 )
,
PrimitiveGroup( 2926, 1 )
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Stored class fusions from this table:
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ON
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Stored class fusions to this table:
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23:7:3,
2 × A5,
7:6,
11:10,
19:6,
D6 × D10,
L2(11)