Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
| direct product | SD16×SL(2,𝔽5) |
233 conjugacy classes of subgroups; only the 29 normal subgroups are shown.
This group has 233 conjugacy classes of subgroups — too many to draw. Only its 29 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 192 |
63 conjugacy classes — view the full character table.
| maximal subgroup of | GL(2,𝔽3)×SL(2,𝔽5), SD16×#6732 |
| maximal normal subgroup of | SD16×#6732 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 240738);