Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22×C5 |
| direct product | Q8×#6034 |
| Sylow | C52 ⋊ C8×Q8 |
274 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
100 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 7277);