Character Table info for He
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Name:
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He
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Group order:
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4030387200 = 210 ⋅ 33 ⋅ 52 ⋅ 73 ⋅ 17
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Number of classes:
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33
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InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,17]
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Maximal subgroups:
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
2 |
1024 |
3935925 |
M24N2 |
M24N2 |
3 |
216 |
18659200 |
31+2:D8 |
3^(1+2):D8 |
5 |
1200 |
3358656 |
52:4A4 |
5^2:4A4 |
7 |
6174 |
652800 |
71+2:(S3 × 3) |
7^(1+2):(S3x3) |
17 |
136 |
29635200 |
17:8 |
17:8 |
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Available Brauer tables:
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Atlas representations:
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29 available
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Group constructions in GAP:
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AtlasGroup( "He" )
,
AtlasSubgroup( "He.2", 1 )
,
PrimitiveGroup( 2058, 1 )
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Stored class fusions from this table:
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He.2
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Stored class fusions to this table:
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21+6+.L3(2),
22.L3(4).S3,
26:3.S6,
26:31+2.D8,
22+2+4.(S3 × S3),
3.A7.2,
31+2:D8,
52:4A4,
7:3 × L3(2),
72:2L2(7),
71+2:(S3 × 3),
17:8,
(A5 × D10).2,
D8 × L3(2),
L3(2) × S3,
M24N2,
NRS(M24, 2(2+2+4)a),
NRS(M24, 24+4),
NRS(M24, [29]a),
NRS(M24, [29]b),
S4(4).2,
[29].S3a,
[29].S3b,
hed3,
S4 × L3(2)