Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×#71539 |
| Sylow | C32 ⋊ #1462 |
1217 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10686697, #72252317, #72252319, … |
| maximal normal subgroup of | C3×#10686697, #72252317, #72252319, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 7863);