Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×#71671 |
| Fitting | C2×C32×#120 ⋊ C2 |
| Sylow | C32 ⋊ #2021 |
1607 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
162 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10826736, #72252346, #72252347 |
| maximal normal subgroup of | C3×#10826736, #72252346, #72252347 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 26798);