Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C113 ⋊ C16 |
| Sylow | C113 ⋊ #1322 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 904 |
Polycyclic presentation:
2^7,113|a^2=d,b^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^40,d^b=de,h^d=h^18,h^f=h^98,h^g=h^112100 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 21771);