Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C5×#10613591 |
| Fitting | C52×#496 ⋊ C2 |
| Sylow | C52 ⋊ #3288 |
1072 conjugacy classes of subgroups.
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72223090, C5×#12975606, #72227625 |
| maximal normal subgroup of | #72223090, C5×#12975606, #72227625 |
Past the SmallGroups library coverage — no SmallGroups id.