Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C3⋊(C3⋊D27) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C33 |
| direct product | C4×C3⋊(C3⋊D27) |
| Fitting | C32×C4×C27 ⋊ C2 |
| derived, Sylow | C32×C27 ⋊ C2×C4 |
576 conjugacy classes of subgroups.
| transitive degree | μt(G) = 972 |
492 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2126);