Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | D3×#4494 |
| Sylow | C32 ⋊ C2×#365 |
325 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | D32×#365, #72222745, D3×#70929, … |
| maximal normal subgroup of | D32×#365, #72222745, D3×#70929, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 31117);