Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C5 · Schur multiplier (H2) = C2 |
| direct product | C5×#10598278 |
| Sylow | C52 ⋊ #1359 |
346 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
335 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72223195 |
| maximal normal subgroup of | #72223195 |
Past the SmallGroups library coverage — no SmallGroups id.