Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C5 |
| direct product | C5⋊D5×#518 |
| Fitting | C52×#518 ⋊ C2 |
| Sylow | C52 ⋊ C2×#518 |
7680 conjugacy classes of subgroups.
476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5⋊D5×#3484, #72223257, #518×#1043, … |
| maximal normal subgroup of | C5⋊D5×#3484, #72223257, #518×#1043, … |
Past the SmallGroups library coverage — no SmallGroups id.