Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42×C5 |
| direct product | C2×#13104824 |
| Fitting | C2×C42×C52 ⋊ C4 |
| Sylow | C52 ⋊ C2×#376 |
2178 conjugacy classes of subgroups; only the 414 normal subgroups are shown.
This group has 2178 conjugacy classes of subgroups — too many to draw. Only its 414 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 320 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72221487 |
| maximal normal subgroup of | C2×#72221487 |
Past the SmallGroups library coverage — no SmallGroups id.