Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C4×C4⋊C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #20550 |
994 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=g,c^2=e,f^2=h,g^2=h,b^a=be,d^a=de,c^b=ceh,d^b=dh,i^c=i^42,i^d=i^421780 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 168405);