Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C43 ⋊ #17402 |
992 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,d^2=gh,f^2=h,b^a=be,d^a=dh,e^a=eg,i^a=i^42,c^b=ch,f^b=fg1228 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 135692);