Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C5 |
| direct product | C4×#41×C5⋊D5 |
| Fitting | C4×C52×#41 ⋊ C2 |
| Sylow | C52 ⋊ C2×C4×#41 |
6912 conjugacy classes of subgroups.
560 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5⋊D5×#3498, #72223253, C4×#41×#1043, … |
| maximal normal subgroup of | C5⋊D5×#3498, #72223253, C4×#41×#1043, … |
Past the SmallGroups library coverage — no SmallGroups id.