Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C11 ⋊ #104 |
| Sylow | C11 ⋊ #805 |
| Sylow | C3 ⋊ #66889 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 264 |
Polycyclic presentation:
2^5,3,11|a^2=d,b^2=cd,c^2=e,b^a=bc,g^a=g^10,c^b=ce,d^b=de,f^b=f^2120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 54);