Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C59×#1790 ⋊ C2 |
| Sylow | C59 ⋊ #24407 |
1476 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|a^2=fh,b^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^58,c^b=cg,f^b=fh,i^b=i^58,e^c=eh,f^d=fh971 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 206944);