Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C59×#1899 ⋊ C2 |
| Sylow | C59 ⋊ #21423 |
1162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|a^2=g,b^2=eg,c^2=h,d^2=f,b^a=be,c^a=cf,e^a=eh,e^b=eh,g^b=gh,d^c=dh,i^d=i^58986 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 174927);