Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Q8×#3957 |
| Fitting | C5×Q8×M16 ⋊ C2 |
| Sylow | C5 ⋊ Q8×#104 |
1096 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
170 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 186263);