Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | Q8×#3752 |
| Fitting | C2×C32×C4×Q8 ⋊ C2 |
| Sylow | C32 ⋊ Q8×C22⋊C4 |
2460 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, 38880);