Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4×C5 |
| direct product | C4×#11717448 |
| Sylow | C52 ⋊ C2×C4×M16 |
1810 conjugacy classes of subgroups.
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72223475, #72223525, C4×#13103905, … |
| maximal normal subgroup of | #72223475, #72223525, C4×#13103905, … |
Past the SmallGroups library coverage — no SmallGroups id.