Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C59×#1742 ⋊ C2 |
| Sylow | C59 ⋊ #20358 |
2046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|a^2=f,b^2=g,f^2=h,b^a=be,e^a=eh,f^b=fh,d^c=dh,i^c=i^58,i^d=i^581358 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 167016);