Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26×C3 |
| direct product | D8×C4⋊(C3⋊D3) |
| Fitting | C32×C4×D8 ⋊ C2 |
| Sylow | C32 ⋊ D4×D8 |
1860 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
147 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 119744);