Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C16×C113 ⋊ C8 |
| Sylow | C113 ⋊ #1368 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1808 |
Polycyclic presentation:
2^7,113|a^2=d,b^2=c,c^2=e,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^69,d^b=dg,h^d=h^15,h^f=h^112256 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 21571);