Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C4×C22⋊Q8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #34212 |
2634 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,b^2=gh,c^2=g,b^a=bf,c^a=cg,e^a=ef,d^b=df,i^d=i^421264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 329987);