Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C26 |
| direct product | C3×#72130 |
| Sylow | C32 ⋊ #1781 |
2441 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10943957, #72252278, #72252282, … |
| maximal normal subgroup of | C3×#10943957, #72252278, #72252282, … |
| maximal quotient of | C3×#10687807, C3×#10710647 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 18609);