Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D596 |
| Fitting | C4×C8×C149 ⋊ C2 |
| Sylow | C149 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042645, #34042647, C8×#14558721, … |
| maximal normal subgroup of | #34042645, #34042647, C8×#14558721, … |
| maximal quotient of | C8×D1192, C8×#14558725, C8×Dic596, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 616);