Finite Group DatabasebetaFinite Group Databasebeta| order | 1584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22×C3 |
No aliases for this group.
| Hall | C32×C11 ⋊ C22⋊C4 |
| Sylow | C11 ⋊ #3757 |
| Sylow | C32 ⋊ C22⋊Dic11 |
204 conjugacy classes of subgroups.
| transitive degree | μt(G) = 792 |
Polycyclic presentation:
2^4,3^2,11|a^2=d,b^a=bc,e^a=e^2,f^a=f^2,g^a=g^10402 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1584, 355);