Finite Group DatabasebetaFinite Group Databasebeta| order | 2232 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C2×Dic3×C31⋊C3 |
| derived | C3×C31 ⋊ C2×C3×C4 |
| Hall | C3×C31⋊C3 ⋊ C2×C4 |
| Sylow | C31 ⋊ C2×C3×Dic3 |
74 conjugacy classes of subgroups.
156 conjugacy classes — view the full character table.
| maximal subgroup of | C2×Dic3×(C31⋊C3)⋊C5, C2×C4×D3×C31⋊C3, C2×#72219334, … |
| maximal normal subgroup of | C2×Dic3×(C31⋊C3)⋊C5, C2×C4×D3×C31⋊C3, C2×#72219334, … |
Past the SmallGroups library coverage — no SmallGroups id.