Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C59 ⋊ #9615 |
382 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15104 |
Polycyclic presentation:
2^8,59|a^2=f,b^2=fg,c^2=eh,d^2=g,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,d^b=dg,i^b=i^581334 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 68219);