Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | D4×M16×C43 ⋊ C2 |
| Sylow | C43 ⋊ #60147 |
2742 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,c^2=g,g^2=h,b^a=bf,c^a=ch,i^a=i^42,c^b=ch,i^c=i^42,e^d=eh,i^e=i^421138 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1033563);