Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214×C4 |
| direct product | C2×D3×#2328 |
| Fitting | C2×C3×#2328 ⋊ C2 |
| Sylow | C3 ⋊ C22×#2328 |
35188 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D3×#581603, D3×#619101, C2×D3×#45355, … |
| maximal normal subgroup of | D3×#581603, D3×#619101, C2×D3×#45355, … |
Past the SmallGroups library coverage — no SmallGroups id.