Finite Group DatabasebetaFinite Group Databasebeta| order | 4872 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C7 · Schur multiplier (H2) = C2 |
| direct product | C4×C3⋊(D29⋊C7) |
| Fitting | C3×C4×C29 ⋊ C2×C7 |
| derived, Hall | C3×C29 ⋊ C2×C4×C7 |
| Hall | C4×D87 ⋊ C7 |
| Hall | C3×C29⋊C7 ⋊ C2×C4 |
| Hall | C29⋊C7 ⋊ C4×D3 |
| Sylow | C29 ⋊ C4×D3×C7 |
| Sylow | C3 ⋊ C4×D29⋊C7 |
64 conjugacy classes of subgroups.
108 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D3×D29⋊C7, C2×C4×C3⋊(D29⋊C7) |
| maximal normal subgroup of | C4×D3×D29⋊C7, C2×C4×C3⋊(D29⋊C7) |
| maximal quotient of | C2×C4×C3⋊(D29⋊C7) |
Past the SmallGroups library coverage — no SmallGroups id.