Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
| direct product | C4×#66266 |
| Fitting | C4×C5×#41 ⋊ C4 |
| Sylow | C5 ⋊ C4×#520 |
3698 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #72269215, #72269239 |
| maximal normal subgroup of | #72269215, #72269239 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1114110);