Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C59 ⋊ #7733 |
366 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15104 |
Polycyclic presentation:
2^8,59|a^2=e,b^2=f,c^2=fgh,d^2=g,e^2=h,b^a=bd,c^a=cfg,d^a=df,c^b=ch,d^b=dg,e^b=efg,i^b=i^581670 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 58261);