Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C3⋊(C3⋊(C3⋊D9)) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C36 |
| direct product | C2×C3⋊(C3⋊(C3⋊Dic9)) |
| unambiguous semidirect product | (C2×C3)⋊(C3⋊(C3⋊Dic9)) |
| unambiguous semidirect product | (C2×C9)⋊(C3⋊(C3⋊Dic3)) |
| derived, Sylow | C33×C9 ⋊ C2×C4 |
3168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1944 |
492 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3410);