Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | #497×C113 ⋊ C2 |
| Sylow | C113 ⋊ #3156 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7232 |
Polycyclic presentation:
2^7,113|a^2=g,b^2=eg,c^2=f,e^2=g,b^a=be,c^a=cf,e^a=eg,h^b=h^112,d^c=dg,h^d=h^112928 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 15002);