Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C59×#332 ⋊ C2 |
| Sylow | C59 ⋊ #17727 |
940 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|a^2=f,b^2=g,c^2=h,d^2=g,e^2=h,f^2=gh,b^a=be,e^a=eg,i^a=i^58,e^b=eh,f^b=fgh,i^b=i^58,d^c=dg,i^c=i^581163 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 138079);