Finite Group DatabasebetaFinite Group Databasebeta| order | 4992 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | #453×D13⋊C3 |
| Fitting | C13×#453 ⋊ C2×C3 |
| Hall | D13×#453 ⋊ C3 |
| Hall | C13⋊C3 ⋊ C2×#453 |
| Sylow | C13 ⋊ C2×C3×#453 |
1688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 104 |
128 conjugacy classes — view the full character table.
| maximal subgroup of | #453×AGL(1,𝔽13), D13⋊C3×#5935 |
| maximal normal subgroup of | #453×AGL(1,𝔽13) |
Past the SmallGroups library coverage — no SmallGroups id.