Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C3×#10604048 |
| Fitting | C3×C5×#106 ⋊ C4 |
| Hall | C3×C5 ⋊ #1776 |
| Sylow | C5 ⋊ C3×#1776 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
174 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 22369);