Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C61×#3534 ⋊ C2 |
| Sylow | C61 ⋊ #18224 |
1370 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
Polycyclic presentation:
2^8,61|e^2=g,b^a=be,c^a=cf,e^a=eg,i^a=i^60,e^b=eg,f^b=fh,d^c=dg,e^c=eh1177 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 142730);