Finite Group DatabasebetaFinite Group Databasebeta| order | 1404 |
| isoclinism | isoclinic class of D13 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×C3×C9×D13 |
| Fitting | C2×C3×C9×C13 ⋊ C2 |
| derived, Sylow | C13 ⋊ C22×C3×C9 |
| Hall | C3×C9×C13 ⋊ C22 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 702 |
432 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1404, 142);