Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C8 · Schur multiplier (H2) = C25 |
| direct product | C3×C8×#709 |
| Fitting | C2×C3×C4×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C8×#41 |
| Sylow | C5 ⋊ C3×C8×#41 |
912 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
624 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 144589);