Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#1450 ⋊ C2 |
| Sylow | C43 ⋊ #17929 |
658 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=g,c^2=f,e^2=g,f^2=h,b^a=be,d^a=dh,e^a=eg,i^a=i^42,c^b=ch,e^b=eg,i^b=i^421744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 139771);