Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D4×#3994 |
| Fitting | C5×C8×D4 ⋊ C4 |
| Sylow | C5 ⋊ D4×#107 |
1126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
110 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1110552);