Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | #97×Dic15 |
| Hall | C3×C5 ⋊ C4×#97 |
| Sylow | C5 ⋊ Dic3×#97 |
| Sylow | C3 ⋊ Dic5×#97 |
720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 19900);