Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C11 ⋊ SD32 |
| Sylow | C11 ⋊ #800 |
| Sylow | C3 ⋊ #66891 |
52 conjugacy classes of subgroups.
| minimal degree | μ(G) = 30 |
| transitive degree | μt(G) = 528 |
Polycyclic presentation:
2^5,3,11|a^2=c,c^2=de,d^2=e,b^a=bce,g^a=g^10,c^b=cd,d^b=de,f^b=f^2102 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 18);