Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C3 |
| direct product | C2×#10592813 |
| Fitting | C23×C32×C8 ⋊ C2 |
| Sylow | C32 ⋊ C2×#465 |
1692 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
300 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 100682);