Finite Group DatabasebetaFinite Group Databasebeta| order | 1458 |
| isoclinism | isoclinic class of #272 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C3 |
| direct product | C3×C9×#272 |
| Fitting, Sylow | C3×C9×H(3,𝔽3) ⋊ C2 |
| derived | H(3,𝔽3) ⋊ C2×C3×C9 |
812 conjugacy classes of subgroups.
| transitive degree | μt(G) = 243 |
270 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1458, 1439);