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Cayley diagramAliases
Subgroups
2538 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 18 points:
(1,2);(4,7)(5,9)(8,10)(11,12)(13,15)(14,17)(16,18);(3,4,5,7,6,8,9,10);(12,15)(13,18)(16,17);(4,8)(7,10)
Conjugacy classes & character table
86 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | #72279570, #72279582, C2×D8×AGL(1,ℤ/8), … |
| maximal normal subgroup of | #72279570, #72279582, C2×D8×AGL(1,ℤ/8), … |
| maximal quotient of | C2×#197729, C2×#233080, #72342608, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(512, 6260827);
Finite Group Databasebeta