Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D3×#4516 |
| Fitting | C32×M32 ⋊ C22 |
| Sylow | C32 ⋊ C2×#361 |
543 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#69091, #72222764, D3×#69249, … |
| maximal normal subgroup of | D3×#69091, #72222764, D3×#69249, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 30903);