Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29×C3 |
| direct product | D4×Q8×C3⋊D3 |
| Fitting | C32×D4×Q8 ⋊ C2 |
| Sylow | C32 ⋊ C2×D4×Q8 |
4704 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
150 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 136650);