Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24×C5 |
| direct product | C5⋊D5×D4⋊C8 |
| Fitting | C52×D4⋊C8 ⋊ C2 |
| Sylow | C52 ⋊ C2×D4⋊C8 |
1376 conjugacy classes of subgroups; only the 223 normal subgroups are shown.
This group has 1376 conjugacy classes of subgroups — too many to draw. Only its 223 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 800 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5⋊D5×#1580, D4⋊C8×#1043, #72253177 |
| maximal normal subgroup of | C5⋊D5×#1580, D4⋊C8×#1043, #72253177 |
| maximal quotient of | C5⋊D5×#1333 |
Past the SmallGroups library coverage — no SmallGroups id.