Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| isoclinism | isoclinic class of #3993 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C8×#3993 |
| Fitting | C5×C82 ⋊ C4 |
| Sylow | C5 ⋊ C8×#106 |
446 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1087586);