Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C3×#10619916 |
| Fitting | C3×Q8×3−1+2 ⋊ C3 |
| Sylow | Q8 ⋊ C3×#737 |
758 conjugacy classes of subgroups; only the 280 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 280 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 648 |
231 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3259);