Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C11 ⋊ #1313 |
80 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^7,11|a^2=c,b^2=d,c^2=e,d^2=f,e^2=g,b^a=be,d^a=dg,h^a=h^10,c^b=cg244 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1313, C2×#13066537, #14662772, … |
| maximal normal subgroup of | D11×#1313, C2×#13066537, #14662772, … |
| maximal quotient of | #14640390, #14640603, #14641109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 2431);