Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C61×#1740 ⋊ C2 |
| Sylow | C61 ⋊ #23446 |
1994 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|b^2=h,d^2=h,b^a=be,c^a=cf,g^a=gh,i^a=i^60,c^b=cg,d^b=dh,i^b=i^60,e^c=eh,i^c=i^601366 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 196833);