Finite Group DatabasebetaFinite Group Databasebeta| order | 1404 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C22×C9×C13 ⋊ C3 |
| Hall | C22×C13 ⋊ 3−1+2 |
| Sylow | C13 ⋊ C9⋊A4 |
| Sylow | C22 ⋊ #66848 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 468 |
Polycyclic presentation:
3^3,2^2,13|b^3=c,b^a=bc,d^a=de,e^a=d,f^a=f^3164 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1404, 137);