Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #6652 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C23×#6652 |
| Hall | C3×C5 ⋊ C23×D8 |
| Sylow | C5 ⋊ C23×#213 |
| Sylow | C3 ⋊ C23×#686 |
3952 conjugacy classes of subgroups; only the 932 normal subgroups are shown.
This group has 3952 conjugacy classes of subgroups — too many to draw. Only its 932 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 235350);