Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | Q8×#6705 |
| Fitting | C3×C5×C8×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ Q8×M16 |
| Sylow | C5 ⋊ Q8×ΓL(1,𝔽25) |
| Sylow | C3 ⋊ Q8×#676 |
776 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
330 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 144505);