Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of A4×(C3⋊D3)⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C2×C32 |
| direct product | C22⋊C9×(C3⋊D3)⋊C3 |
| unambiguous semidirect product | (C22×(C3⋊D3)⋊C3)⋊C9 |
| derived | C22×C32 ⋊ C2×C3×C9 |
298 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2580);