Finite Group DatabasebetaFinite Group Databasebeta| order | 1120 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C7 · Schur multiplier (H2) = C22 |
| direct product | C2×C7×#676 |
| Fitting | C2×C5×C7×C8 ⋊ C2 |
| Hall | C5×C7 ⋊ C2×M16 |
| Sylow | C5 ⋊ C2×C7×M16 |
136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 560 |
364 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1120, 750);