Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C23 |
| direct product | #99×A5 |
482 conjugacy classes of subgroups; only the 24 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 24 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 40 |
55 conjugacy classes — view the full character table.
| maximal subgroup of | A5×B(4,𝔽2) |
| maximal normal subgroup of | A5×B(4,𝔽2) |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 240432);