Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C8 · Schur multiplier (H2) = C3 |
| direct product | C3×#10619500 |
| derived | H(3,𝔽3) ⋊ C32×C8 |
| Sylow | C3×AΣL(1,𝔽27) ⋊ C8 |
359 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 359 conjugacy classes of subgroups — too many to draw. Only its 60 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 697);