Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C26×C3 · Schur multiplier (H2) = C214 |
| direct product | C23×C3×D3×Q8 |
| Fitting | C23×C32×Q8 ⋊ C2 |
| Sylow | C32 ⋊ C24×Q8 |
12953 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 153185);