Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | Q8×#3663 |
| Fitting | C8×Q8×C9 ⋊ C2 |
| Sylow | C9 ⋊ Q8×M16 |
582 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 95503);