Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C43 ⋊ #23639 |
1014 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,c^2=e,f^2=h,b^a=be,c^a=cf,c^b=cg,d^b=dh,f^c=fh,i^c=i^421228 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 198415);