Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of ((C3⋊D3)⋊C9)⋊C2 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C3×((C3⋊D3)⋊C9)⋊C4 |
| derived | C32⋊C9 ⋊ C2×C3×C4 |
| Sylow | C3×C32⋊C9 ⋊ C2×C4 |
321 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 321 conjugacy classes of subgroups — too many to draw. Only its 58 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
126 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1143);