Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C5 |
| direct product | C5⋊D5×#367 |
| Fitting | C52×#367 ⋊ C2 |
| Sylow | C52 ⋊ C2×#367 |
672 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 179 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1600 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5⋊D5×#2177, #367×#1043, #72242341 |
| maximal normal subgroup of | C5⋊D5×#2177, #367×#1043, #72242341 |
Past the SmallGroups library coverage — no SmallGroups id.