Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C3⋊#157 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×C9×C3⋊#157 |
| unambiguous semidirect product | (C2×C3)⋊(C9×#157) |
| Fitting | C2×C33×C9 ⋊ C4 |
| derived | C33 ⋊ C2×C4×C9 |
| Sylow | C33×C9 ⋊ C2×C4 |
384 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 384 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) = 72 |
216 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3677);