Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×#135×C59 ⋊ C2 |
| Sylow | C59 ⋊ #33451 |
682 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|a^2=f,c^2=f,d^2=h,e^2=gh,g^2=h,b^a=be,c^a=ch,e^a=eg,g^a=gh,e^b=eg,g^b=gh,i^b=i^581688 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 322876);