Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of AGL(1,ℤ/9) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C33×C4 · Schur multiplier (H2) = C2×C33 |
| direct product | C2×C32×3−1+2⋊C4 |
| unambiguous semidirect product | (C2×Dic9)⋊C33 |
| unambiguous semidirect product | (C2×C3×Dic9)⋊C32 |
| derived | C9 ⋊ C2×C33×C4 |
| Sylow | C32×3−1+2 ⋊ C2×C4 |
1182 conjugacy classes of subgroups; only the 394 normal subgroups are shown.
This group has 1182 conjugacy classes of subgroups — too many to draw. Only its 394 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3295);