Finite Group DatabasebetaFinite Group Databasebeta| order | 1120 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊Dic35 |
| Hall | C5×C7 ⋊ C2×C22⋊C4 |
| Sylow | C7 ⋊ C2×C22⋊Dic5 |
| Sylow | C5 ⋊ C2×C22⋊Dic7 |
264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 560 |
292 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1120, 888);