Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×C3×D3×#106 |
| Fitting | C2×C32×#106 ⋊ C2 |
| Sylow | C32 ⋊ C22×#106 |
1265 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
252 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D32×#106, C2×C3×D3×#442 |
| maximal normal subgroup of | C2×D32×#106, C2×C3×D3×#442 |
| maximal quotient of | C3×#10948201 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 92383);