Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29×C4 |
| direct product | D5×#3027 |
| Fitting | C5×#3027 ⋊ C2 |
| Sylow | C5 ⋊ C2×#3027 |
5110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 80 |
116 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#23872, #72221468, AGL(1,𝔽5)×#3027, … |
| maximal normal subgroup of | D5×#23872, #72221468, AGL(1,𝔽5)×#3027, … |
| maximal quotient of | #72226514 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1036299);