Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C11 ⋊ #1780 |
612 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^7,11|a^2=f,f^2=g,b^a=bd,c^a=ce,h^a=h^10,c^b=cg244 conjugacy classes — view the full character table.
| maximal subgroup of | #14641047, #14641049, #14641055, … |
| maximal normal subgroup of | #14641047, #14641049, #14641055, … |
| maximal quotient of | #14645121, #14645124, #14645127, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4422);