Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Hall | C3×C11 ⋊ #135 |
| Sylow | C11 ⋊ #912 |
| Sylow | C3 ⋊ #66972 |
124 conjugacy classes of subgroups.
| transitive degree | μt(G) = 528 |
Polycyclic presentation:
2^5,3,11|b^2=e,c^2=de,d^2=e,c^a=cd,d^a=de,g^a=g^10,c^b=cd,d^b=de,f^b=f^296 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 265);