Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D32×#100 |
| Fitting | C32×#100 ⋊ C22 |
| Sylow | C32 ⋊ C22×#100 |
2077 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
99 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#10591503, D32×#453, #72257988, … |
| maximal normal subgroup of | D32×#453, #72257988, C2×D32×#100 |
| maximal quotient of | D3×#10591503, C2×D32×#100 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91602);