Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C43 ⋊ #12599 |
590 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=e,b^2=f,c^2=e,f^2=g,g^2=h,b^a=bd,c^b=ch,i^b=i^422800 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 84599);