Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of (C22⋊C27)⋊C2 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C2 |
| direct product | C9×(C22⋊C27)⋊C2 |
| derived | C22⋊C27 ⋊ C2×C9 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 108 |
189 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 810);