Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C210 |
| direct product | C22×D5×#97 |
| Fitting | C22×C5×#97 ⋊ C2 |
| Sylow | C5 ⋊ C23×#97 |
4126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22×AGL(1,𝔽5)×#97, C22×#13100501 |
| maximal normal subgroup of | C22×AGL(1,𝔽5)×#97 |
| maximal quotient of | C22×#13100501 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1032949);