Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#16813721 |
| Sylow | C113 ⋊ C22⋊C32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7232 |
Polycyclic presentation:
2^7,113|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,h^a=h^40,h^d=h^18,h^e=h^98,h^f=h^112136 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 21781);