Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C2 |
| direct product | C3×#10619904 |
| Sylow | C32×H(3,𝔽3) ⋊ D4 |
833 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 833 conjugacy classes of subgroups — too many to draw. Only its 62 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
117 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#13048339, C3×#13048340 |
| maximal normal subgroup of | C3×#13048339, C3×#13048340 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3132);