Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C59×SD16⋊C8 ⋊ C2 |
| Sylow | C59 ⋊ C8×AGL(1,ℤ/8) |
802 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|a^2=f,c^2=f,e^2=g,f^2=h,b^a=be,d^a=dg,e^a=eg,e^b=eg,i^c=i^58,i^d=i^581364 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 138979);