Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
No aliases for this group.
| Fitting | C59×#2275 ⋊ C2 |
| Sylow | C59 ⋊ C4×#520 |
3698 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|a^2=g,b^2=h,c^2=f,e^2=g,b^a=bf,d^a=df,c^b=cf,i^c=i^58,i^e=i^582108 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 327809);