Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#11924746 |
| Sylow | C149 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
1520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043483, D8×#11924746, SD16×#11924746, … |
| maximal normal subgroup of | #34043483, D8×#11924746, SD16×#11924746, … |
| maximal quotient of | D8×#11924746, SD16×#11924746, Q16×#11924746, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 615);