| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C8 · Schur multiplier (H2) = C23 |
| direct product | C5×#65014 |
| Fitting | C52×C22⋊C8 ⋊ C2 |
| Sylow | C52 ⋊ C8×D4 |
318 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 4339);