← Prev (#10587001) Next (#10587003) →
Cayley diagramAliases
Subgroups
70018 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 7 generators on 18 points:
(1,2);(3,4);(5,6);(7,8);(9,10);(11,12,13,14,15,16,17,18);(12,14)(13,17)(16,18)
Conjugacy classes & character table
224 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | C2×#6573480, C2×SD16×#120, C25×AGL(1,ℤ/8), … |
| maximal normal subgroup of | C2×#6573480, C2×SD16×#120, C25×AGL(1,ℤ/8), … |
| maximal quotient of | C23×D4×SD16, C23×#3335, C23×#3295, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(512, 10494198);
Finite Group Databasebeta