Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C5 |
| direct product | C2×#11716668 |
| Sylow | C52 ⋊ C2×Q32 |
328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1600 |
406 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 5120);