Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C11 ⋊ Q8×C16 |
134 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,h^c=h^10280 conjugacy classes — view the full character table.
| maximal subgroup of | #14665538, #14665542, #14665552, … |
| maximal normal subgroup of | #14665538, #14665542, #14665552, … |
| maximal quotient of | #14669114, #14669118, #14671385, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6412);