Character Table info for 3.2E6(2)
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Name:
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3.2E6(2)
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Group order:
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229597439051324561817600 = 236 ⋅ 310 ⋅ 52 ⋅ 72 ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19
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Number of classes:
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346
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InfoText value:
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computed by Frank L"ubeck in August 2005 using a combination of
Deligne-Lusztig theory, the known table of 2E6(2), character theoretic
methods, and some combinatorics
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Some maximal subgroups:
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|
Order |
Index |
Structure |
Name |
3 |
9933379810099200 |
23113728 |
3 × F4(2) |
3xF4(2) |
4 |
9933379810099200 |
23113728 |
3 × F4(2) |
3.2E6(2)M4 |
5 |
9933379810099200 |
23113728 |
3 × F4(2) |
3.2E6(2)M5 |
7 |
193685254963200 |
1185415168 |
3.Fi22 |
3.Fi22 |
8 |
193685254963200 |
1185415168 |
3.Fi22 |
3.2E6(2)M8 |
9 |
193685254963200 |
1185415168 |
3.Fi22 |
3.2E6(2)M9 |
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Atlas representations:
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1 available
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Group constructions in GAP:
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AtlasGroup( "3.2E6(2)" )
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Stored class fusions from this table:
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2E6(2),
3.2E6(2).2
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Stored class fusions to this table:
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3 × F4(2),
3 × F4(2),
3.Fi22,
3.Fi22,
3.Fi22,
3 × F4(2),
6.2E6(2),
(22 × 3).2E6(2)