Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #4175 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9 · Schur multiplier (H2) = C23×C3 |
| direct product | C22×#92173 |
| Fitting | C22×#6866 ⋊ C2 |
| derived | C33 ⋊ C23×C9 |
| Sylow | #6866 ⋊ C23 |
603 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 603 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1043);