Character Table info for R(27)
-
Name:
-
R(27)
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Group order:
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10073444472 = 23 ⋅ 39 ⋅ 7 ⋅ 13 ⋅ 19 ⋅ 37
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Number of classes:
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35
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InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r.
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Some maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
511758 |
19684 |
33+6:26 |
3^(3+6):26 |
3 |
1512 |
6662331 |
L2(8).3 |
L2(8).3 |
5 |
168 |
59960979 |
(22 × D14):3 |
(2^2xD14):3 |
6 |
114 |
88363548 |
19:6 |
19:6 |
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Stored Sylow p normalizers:
-
p |
Order |
Index |
Structure |
Name |
3 |
511758 |
19684 |
33+6:26 |
3^(3+6):26 |
7 |
168 |
59960979 |
(22 × D14):3 |
(2^2xD14):3 |
19 |
114 |
88363548 |
19:6 |
19:6 |
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Available Brauer tables:
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-
Atlas representations:
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3 available
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Group constructions in GAP:
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AtlasGroup( "R(27)" )
,
AtlasSubgroup( "R(27).3", 1 )
,
ReeGroup( 27 )
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Stored class fusions from this table:
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R(27).3
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Stored class fusions to this table:
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33+6:26,
19:6,
(22 × D14):3,
L2(8).3