Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C59×#432 ⋊ C2 |
| Sylow | C59 ⋊ #9084 |
712 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|a^2=f,b^2=df,c^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,i^a=i^58,c^b=ch,d^b=dg,f^b=fg1676 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 64964);