Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C59×#2983 ⋊ C2 |
| Sylow | C59 ⋊ #17391 |
876 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|a^2=f,b^2=g,c^2=g,d^2=g,f^2=h,b^a=be,e^a=eg,i^a=i^58,c^b=ch,f^b=fg,i^b=i^58,d^c=dg1334 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 135632);