Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C43 ⋊ #8160 |
582 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=e,b^2=f,c^2=e,e^2=h,b^a=bd,f^a=fg,i^a=i^42,c^b=ch,d^b=dg,i^b=i^42,i^c=i^42988 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 60117);