Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
| direct product | D5×#2875 |
| Fitting | C5×#2875 ⋊ C2 |
| Sylow | C5 ⋊ C2×#2875 |
3278 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | AGL(1,𝔽5)×#2875, #72242680, D5×#60176, … |
| maximal normal subgroup of | AGL(1,𝔽5)×#2875, D5×#60176, #72269215 |
| maximal quotient of | #72242680 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1032974);