Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C3⋊(C3⋊D3) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C9 · Schur multiplier (H2) = C2×C33 |
| direct product | C4×C9×C3⋊(C3⋊D3) |
| Fitting | C33×C4×C9 ⋊ C2 |
| derived | C33 ⋊ C2×C4×C9 |
| Sylow | C33×C9 ⋊ C2×C4 |
1140 conjugacy classes of subgroups; only the 267 normal subgroups are shown.
This group has 1140 conjugacy classes of subgroups — too many to draw. Only its 267 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 648 |
540 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3370);