Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of AGL(1,ℤ/9) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C27 · Schur multiplier (H2) = C2 |
| direct product | C4×D9⋊C27 |
| unambiguous semidirect product | D9⋊(C4×C27) |
| unambiguous semidirect product | (C4×D9)⋊C27 |
| Fitting | C4×C9⋊C27 ⋊ C2 |
| derived | C9 ⋊ C2×C4×C27 |
| Sylow | C9⋊C27 ⋊ C2×C4 |
117 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 117 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 373);