Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C61×#1752 ⋊ C2 |
| Sylow | C61 ⋊ #20487 |
1118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
Polycyclic presentation:
2^8,61|a^2=f,b^2=g,c^2=g,d^2=f,f^2=h,b^a=be,d^a=dh,i^a=i^60,c^b=ch,i^b=i^60,i^c=i^601768 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 167934);