Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C210 |
No aliases for this group.
| Fitting | C61×C22⋊#95 ⋊ C2 |
| Sylow | C61 ⋊ #13867 |
7150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|a^2=h,b^a=be,c^a=cf,d^a=de,c^b=cg,i^b=i^60,i^c=i^601756 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 91437);