Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#13104730 |
| Fitting | C22×C52×C8 ⋊ C4 |
| Sylow | C52 ⋊ C2×#405 |
2368 conjugacy classes of subgroups.
| transitive degree | μt(G) = 800 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72253134, C2×#131×#1043, C2×#72253172 |
| maximal normal subgroup of | C2×#72253134, C2×#131×#1043, C2×#72253172 |
Past the SmallGroups library coverage — no SmallGroups id.