Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | D3×#5836 |
| Fitting | C32×H(5,𝔽2) ⋊ C22 |
| Sylow | C32 ⋊ C2×#577 |
3049 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
117 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 152875);