Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C3⋊PSU(3,𝔽2) |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C3 |
| direct product | C9×C3⋊PSU(3,𝔽2) |
| unambiguous semidirect product | C3⋊(C9×PSU(3,𝔽2)) |
| Fitting, Sylow | C33×C9 ⋊ Q8 |
146 conjugacy classes of subgroups; only the 33 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 33 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
108 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3546);