Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| isoclinism | isoclinic class of #686 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C8×#3957 |
| Fitting | C5×C8×M16 ⋊ C2 |
| Sylow | C5 ⋊ C8×#104 |
554 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
272 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 60278);