Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#13103864 |
| Sylow | C52 ⋊ C2×C4×Q16 |
1106 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 1106 conjugacy classes of subgroups — too many to draw. Only its 211 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 160 |
116 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72220867, #72242621, #72242634 |
| maximal normal subgroup of | C2×#72220867, #72242621, #72242634 |
Past the SmallGroups library coverage — no SmallGroups id.