Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C27 · Schur multiplier (H2) = C2×C32 |
| direct product | C2×(C3×A4)⋊C27 |
| unambiguous semidirect product | (C2×C3×A4)⋊C27 |
| Fitting | C23×C3×C27 ⋊ C3 |
| Sylow | C23 ⋊ C32⋊C27 |
196 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 64 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 486 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 992);