Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×C3⋊D3×#100 |
| Fitting | C2×C32×#100 ⋊ C2 |
| Sylow | C32 ⋊ C22×#100 |
2976 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | C2×C3⋊D3×#453, #72214997, C2×D32×#100, … |
| maximal normal subgroup of | C2×C3⋊D3×#453, #72214997, C2×D32×#100, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91592);