Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C59×#2327 ⋊ C2 |
| Sylow | C59 ⋊ C4×#541 |
2070 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|a^2=h,b^2=g,d^2=f,e^2=fh,b^a=bf,c^a=cg,d^a=df,i^a=i^58,c^b=cf,i^b=i^58,i^c=i^58,i^e=i^581364 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 328718);