Finite Group DatabasebetaFinite Group Databasebeta| order | 4032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C32 · Schur multiplier (H2) = C25×C3×C4 |
| direct product | C32×D7×#127 |
| Fitting | C32×C7×#127 ⋊ C2 |
| Hall | C32×C7 ⋊ C2×#127 |
| Sylow | C7 ⋊ C2×C32×#127 |
2988 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1008 |
630 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D7×C3⋊D3×#127, C32×#127×AGL(1,𝔽7), C3×D7×#5077 |
| maximal normal subgroup of | D7×C3⋊D3×#127, C32×#127×AGL(1,𝔽7), C3×D7×#5077 |
Past the SmallGroups library coverage — no SmallGroups id.