Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#11716763 |
| Sylow | C52 ⋊ C4×#97 |
978 conjugacy classes of subgroups; only the 215 normal subgroups are shown.
This group has 978 conjugacy classes of subgroups — too many to draw. Only its 215 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
176 conjugacy classes — view the full character table.
| maximal subgroup of | #72223444, #72226592, #72226593, … |
| maximal normal subgroup of | #72223444, #72226592, #72226593, … |
Past the SmallGroups library coverage — no SmallGroups id.