Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C24 |
| direct product | C3×#71848 |
| Sylow | C32 ⋊ #1913 |
933 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
153 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10826736, #72252339, #72252340 |
| maximal normal subgroup of | C3×#10826736, #72252339, #72252340 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 22857);