Finite Group DatabasebetaFinite Group Databasebeta| order | 4608 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C3 |
| direct product | C3⋊D3×#7333 |
| Fitting | C32×#7333 ⋊ C2 |
| Sylow | C32 ⋊ C2×#7333 |
996 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3⋊D3×AGL(1,ℤ/32), C2×C3⋊D3×#7333 |
| maximal normal subgroup of | C3⋊D3×AGL(1,ℤ/32), C2×C3⋊D3×#7333 |
| maximal quotient of | C3⋊D3×#93668, C2×C3⋊D3×#7333 |
Past the SmallGroups library coverage — no SmallGroups id.