Finite Group DatabasebetaFinite Group Databasebeta| order | 4704 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C7 · Schur multiplier (H2) = C26 |
| direct product | C2×D3×C7×C22⋊D7 |
| Fitting | C23×C3×C72 ⋊ C22 |
| Hall | C3×C72 ⋊ C22×D4 |
| Sylow | C72 ⋊ C2×D3×D4 |
| Sylow | C3 ⋊ C22×C7×C22⋊D7 |
1346 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
714 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D3×#11716115, C2×D3×#11924207 |
| maximal normal subgroup of | C2×D3×#11716115, C2×D3×#11924207 |
| maximal quotient of | D3×C7×#6495 |
Past the SmallGroups library coverage — no SmallGroups id.