Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C11 ⋊ #2183 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^7,11|a^2=e,b^2=d,c^2=de,e^2=f,f^2=g,b^a=bd,c^a=cg,h^a=h^10376 conjugacy classes — view the full character table.
| maximal subgroup of | #14641252, #14641254, #14665544, … |
| maximal normal subgroup of | #14641252, #14641254, #14665544, … |
| maximal quotient of | #14669120, #14669127, #14671388, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6418);