Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×C4×#87877 |
| Fitting | C2×C42×C52 ⋊ C22 |
| Sylow | C52 ⋊ C22×C4×D4 |
5554 conjugacy classes of subgroups.
368 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C4×#11717363 |
| maximal normal subgroup of | C2×C4×#11717363 |
| maximal quotient of | #72223041 |
Past the SmallGroups library coverage — no SmallGroups id.