Finite Group DatabasebetaFinite Group Databasebeta| order | 8704 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C23×C4 |
| direct product | #99×AGL(1,𝔽17) |
| Fitting | C17×#99 ⋊ C16 |
| Sylow | C17 ⋊ C16×#99 |
816 conjugacy classes of subgroups.
| transitive degree | μt(G) = 136 |
187 conjugacy classes — view the full character table.
| maximal subgroup of | B(4,𝔽2)×AGL(1,𝔽17) |
| maximal normal subgroup of | B(4,𝔽2)×AGL(1,𝔽17) |
Past the SmallGroups library coverage — no SmallGroups id.