Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C3⋊(C9⋊#157) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C32 |
| direct product | C2×C3⋊(C9⋊#157) |
| unambiguous semidirect product | (C2×C3)⋊(C9⋊#157) |
| unambiguous semidirect product | (C2×C9)⋊(C3⋊#157) |
| Fitting | C2×C33×C9 ⋊ C4 |
| derived, Sylow | C33×C9 ⋊ C2×C4 |
428 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 73 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3682);