Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C11 ⋊ #1422 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^7,11|a^2=d,b^2=c,c^2=g,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^b=h^10256 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1422, C2×#13066813, #14674264, … |
| maximal normal subgroup of | D11×#1422, C2×#13066813, #14674264, … |
| maximal quotient of | #14641438, #14641445, #14641463, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 2707);