Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C24 |
| direct product | C3×Q8×ΓL(1,𝔽25) |
| Fitting | C32×C8×Q8 ⋊ C2 |
| Sylow | C32 ⋊ Q8×M16 |
827 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
270 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 95505);