Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×#69398 |
| Fitting | C2×C32×#95 ⋊ C2 |
| Sylow | C32 ⋊ #1504 |
833 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | #72252311, #72252313, C3×#10686697, … |
| maximal normal subgroup of | #72252311, #72252313, C3×#10686697, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 9116);