Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C11 ⋊ #1368 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^7,11|a^2=d,b^2=c,c^2=e,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^10,d^b=dg232 conjugacy classes — view the full character table.
| maximal subgroup of | #14641241, #14641242, #14641443, … |
| maximal normal subgroup of | #14641241, #14641242, #14641443, … |
| maximal quotient of | #14640511, #14640647, #14641443, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 2576);