Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C4×AGL(1,ℤ/8)×C43 ⋊ C2 |
| Sylow | C43 ⋊ #60570 |
2152 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|d^2=f,g^2=h,b^a=bf,c^a=cg,g^a=gh,e^b=eh,i^b=i^42,g^c=gh,i^c=i^42988 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1038121);