Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C43 ⋊ C4×#556 |
2340 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,b^2=fg,c^2=f,d^2=f,e^2=h,b^a=bf,c^a=cg,i^a=i^42,d^b=df,i^b=i^42,i^e=i^421150 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 329529);