Finite Group DatabasebetaFinite Group Databasebeta| order | 4992 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #99×AGL(1,𝔽13) |
| Fitting | C13×#99 ⋊ C3×C4 |
| Hall | #99×#261 ⋊ C3 |
| Hall | C13⋊C3 ⋊ C4×#99 |
| Sylow | C13 ⋊ C3×C4×#99 |
824 conjugacy classes of subgroups.
| transitive degree | μt(G) = 104 |
143 conjugacy classes — view the full character table.
| maximal subgroup of | B(4,𝔽2)×AGL(1,𝔽13) |
| maximal normal subgroup of | B(4,𝔽2)×AGL(1,𝔽13) |
Past the SmallGroups library coverage — no SmallGroups id.