← Prev (#6353883) Next (#6353885) →
Cayley diagramAliases
Subgroups
2382 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 18 points:
(1,2);(4,7)(5,8)(9,10)(11,12)(13,15)(14,16)(17,18);(3,4,8,10,6,9,5,7);(12,15)(13,18)(16,17);(12,16)(15,17)
Conjugacy classes & character table
104 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | #72279482, C2×D8×AGL(1,ℤ/8), #72279671, … |
| maximal normal subgroup of | #72279482, C2×D8×AGL(1,ℤ/8), #72279671, … |
| maximal quotient of | #72309639, C2×#197777, #72342546 |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(512, 6261080);
Finite Group Databasebeta