Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C43 ⋊ #60664 |
1798 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=f,c^2=g,g^2=h,b^a=bf,c^a=cg,g^a=gh,i^a=i^42,e^b=eh,d^c=dh1486 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1039239);