Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D3×#5197 |
| Sylow | C32 ⋊ C2×#444 |
980 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#71515, #72222767, D3×#69249, … |
| maximal normal subgroup of | D3×#71515, #72222767, D3×#69249, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 95063);