Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#11716586 |
| Sylow | C52 ⋊ C2×D16 |
224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
142 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 3161);