Finite Group DatabasebetaFinite Group Databasebeta| order | 13952 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C109 ⋊ #1322 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6976 |
Polycyclic presentation:
2^7,109|a^2=d,b^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^33,d^b=de,h^b=h^108,h^d=h^108908 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13952, 19447);