Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#72220832 |
| Fitting | C2×C52×M16 ⋊ C2×C4 |
| Sylow | C52 ⋊ C2×C4×#131 |
7388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72269234, #72269238 |
| maximal normal subgroup of | #72269234, #72269238 |
Past the SmallGroups library coverage — no SmallGroups id.