Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C4×#102×C59 ⋊ C2 |
| Sylow | C59 ⋊ #20416 |
1738 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|a^2=f,b^2=g,c^2=f,d^2=h,e^2=h,g^2=h,b^a=be,e^a=eh,g^a=gh,d^c=dh,i^d=i^581712 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 167376);