Finite Group DatabasebetaFinite Group Databasebeta| order | 1120 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10587840 |
| Hall | C5×C7 ⋊ C2×M16 |
| Sylow | C7 ⋊ C2×#676 |
| Sylow | C5 ⋊ C2×#1131 |
136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 560 |
148 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1120, 400);