Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C42 |
No aliases for this group.
| Sylow | C43 ⋊ #21875 |
1158 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=h,d^2=e,b^a=be,c^a=cf,d^a=de,f^a=fh,i^a=i^42,c^b=ce,g^c=gh1228 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 179381);