Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Hall | C3×C11 ⋊ #102 |
| Sylow | C11 ⋊ #832 |
| Sylow | C3 ⋊ #66873 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 528 |
Polycyclic presentation:
2^5,3,11|b^2=c,d^2=e,b^a=bd,d^a=de,g^a=g^10,d^b=de,f^b=f^2114 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 38);