Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | Q8×M16×C59 ⋊ C2 |
| Sylow | C59 ⋊ #61319 |
1836 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|b^2=f,c^2=h,d^2=f,g^2=h,b^a=bf,c^a=cg,e^a=eh,g^a=gh,i^a=i^58,d^b=df,g^c=gh,i^c=i^581505 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 1049434);