Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×D8×D5⋊AGL(1,𝔽5) |
| Fitting | C2×C52×D8 ⋊ C2×C4 |
| Sylow | C52 ⋊ C22×C4×D8 |
8004 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | #72269238 |
| maximal normal subgroup of | #72269238 |
Past the SmallGroups library coverage — no SmallGroups id.