Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C43×#1289 ⋊ C2 |
| Sylow | C43 ⋊ #7983 |
1026 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=e,b^2=f,d^2=gh,f^2=gh,b^a=bd,d^a=dg,f^a=fgh,c^b=cg,e^b=eh,i^c=i^42724 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 59450);