Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C59×#3120 ⋊ C2 |
| Sylow | C59 ⋊ #60581 |
2024 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|a^2=h,b^2=h,d^2=f,g^2=h,b^a=bf,c^a=cg,g^a=gh,i^b=i^58,g^c=gh,i^c=i^58,e^d=eh,i^e=i^58989 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 1038363);