Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C11×#431 ⋊ C2 |
| Sylow | C11 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^7,11|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,h^c=h^10280 conjugacy classes — view the full character table.
| maximal subgroup of | #14644478, #14644480, #14644485, … |
| maximal normal subgroup of | #14644478, #14644480, #14644485, … |
| maximal quotient of | #14751974, #14751979, C4×(C22⋊D11)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13466);