Finite Group DatabasebetaFinite Group Databasebeta| order | 1400 |
| isoclinism | isoclinic class of Dic70 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5 · Schur multiplier (H2) = C1 |
| direct product | C5×Dic70 |
| Hall | C52×C7 ⋊ Q8 |
| Sylow | C52 ⋊ Dic14 |
| Sylow | C7 ⋊ C5×Dic10 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 280 |
365 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1400, 96);