Finite Group DatabasebetaFinite Group Databasebeta| order | 2240 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D7×#4078 |
| Fitting | C2×C5×C7×D4 ⋊ C22 |
| Hall | C5×C7 ⋊ C2×AGL(1,ℤ/8) |
| Sylow | C7 ⋊ C2×#4078 |
| Sylow | C5 ⋊ D7×AGL(1,ℤ/8) |
596 conjugacy classes of subgroups.
155 conjugacy classes — view the full character table.
| maximal subgroup of | AGL(1,𝔽7)×#4078, D5×D7×AGL(1,ℤ/8) |
| maximal normal subgroup of | AGL(1,𝔽7)×#4078, D5×D7×AGL(1,ℤ/8) |
Past the SmallGroups library coverage — no SmallGroups id.