Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C59 ⋊ #11394 |
1090 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1888 |
Polycyclic presentation:
2^8,59|a^2=g,b^2=f,c^2=f,b^a=bd,c^a=ce,d^a=dh,f^a=fh,c^b=cf,d^b=dh,g^b=gh,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, 78533);