Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #6706 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C23×D120 |
| Fitting | C23×C3×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C23×D8 |
| Sylow | C5 ⋊ C23×D24 |
| Sylow | C3 ⋊ C23×D40 |
3952 conjugacy classes of subgroups; only the 983 normal subgroups are shown.
This group has 3952 conjugacy classes of subgroups — too many to draw. Only its 983 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
504 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 235342);