Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C59×#1913 ⋊ C2 |
| Sylow | C59 ⋊ #21014 |
1748 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1888 |
Polycyclic presentation:
2^8,59|a^2=g,b^2=eg,d^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,e^b=eh,f^b=fh,g^b=gh,e^c=eh,g^c=gh,i^d=i^58899 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 171581);