Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C59 ⋊ #13275 |
398 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15104 |
Polycyclic presentation:
2^8,59|a^2=f,b^2=defg,c^2=e,d^2=gh,f^2=gh,g^2=h,b^a=bd,c^a=ce,i^a=i^58,d^b=dg,f^b=fg,g^b=gh1682 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 88140);