Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C59×#3211 ⋊ C2 |
| Sylow | C59 ⋊ #18459 |
972 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1888 |
Polycyclic presentation:
2^8,59|b^2=g,d^2=h,e^2=g,b^a=be,c^a=cf,d^a=dgh,e^a=eg,e^b=eg,f^b=fh,i^b=i^58,d^c=dg,e^c=eh,i^c=i^58962 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 145008);