Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C42×Dic30 |
| Hall | C3×C5 ⋊ C42×Q8 |
| Sylow | C5 ⋊ C42×Dic6 |
| Sylow | C3 ⋊ C42×Dic10 |
1368 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
528 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45313);