Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of (C3⋊D3)⋊A4 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C2×C32 |
| direct product | C3×(C3⋊D3)⋊(C22⋊C9) |
| unambiguous semidirect product | (C3×C3⋊D3)⋊(C22⋊C9) |
| derived | C22×C32 ⋊ C2×C3×C9 |
484 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 60 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2606);