Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C11 ⋊ C4⋊C8 |
| Sylow | C11 ⋊ Dic3⋊C8 |
| Sylow | C3 ⋊ Dic11⋊C8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1056 |
Polycyclic presentation:
2^5,3,11|a^2=d,b^2=c,c^2=e,b^a=bd,f^a=f^2,g^a=g^10276 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 172);