Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C59×#1733 ⋊ C2 |
| Sylow | C59 ⋊ #11094 |
868 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1888 |
Polycyclic presentation:
2^8,59|a^2=g,b^2=d,e^2=h,g^2=h,b^a=bd,c^a=ce,e^a=eh,f^a=fh,i^a=i^58,c^b=cf,f^b=fh,i^b=i^58,d^c=dh,e^c=eh,i^c=i^581322 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 76806);