Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C3⋊((C22⋊C9)⋊C2) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C9×C3⋊((C22⋊C9)⋊C2) |
| unambiguous semidirect product | C3⋊(C9×(C22⋊C9)⋊C2) |
| derived | C3×C22⋊C9 ⋊ C2×C9 |
286 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
189 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2431);