Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×C11×M16 ⋊ C2 |
| Sylow | C11 ⋊ #2967 |
362 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,d^a=dg,h^a=h^10,c^b=cg244 conjugacy classes — view the full character table.
| maximal subgroup of | #14650989, #14650993, #14650996, … |
| maximal normal subgroup of | #14650989, #14650993, #14650996, … |
| maximal quotient of | #14752012, #14752030, #14752129, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13495);