Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C217 |
| direct product | C22×D3×#386 |
| Fitting | C22×C3×#386 ⋊ C2 |
| Sylow | C3 ⋊ C23×#386 |
116996 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
336 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22×D3×#2403 |
| maximal normal subgroup of | C22×D3×#2403 |
| maximal quotient of | D3×#518019 |
Past the SmallGroups library coverage — no SmallGroups id.