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Cayley diagramAliases
Subgroups
2401 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 18 points:
(1,2);(4,7)(5,10)(8,9)(11,12)(13,15)(14,17)(16,18);(3,4,6,9)(5,8,10,7);(12,15)(13,18)(16,17);(4,8)(5,10)(7,9)
Conjugacy classes & character table
80 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | #72279339, #72279373, C2×D8×AGL(1,ℤ/8), … |
| maximal normal subgroup of | #72279339, #72279373, C2×D8×AGL(1,ℤ/8), … |
| maximal quotient of | #72309493, #72309719, #72309937, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(512, 6265290);
Finite Group Databasebeta