Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#2931 ⋊ C2 |
| Sylow | C43 ⋊ #17964 |
662 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,c^2=f,e^2=g,f^2=h,b^a=be,d^a=dgh,e^a=eg,i^a=i^42,d^b=dh,e^b=eg1240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 140152);