Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C23×C22⋊C4×C61 ⋊ C2 |
| Sylow | C61 ⋊ #14718 |
4034 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|c^2=e,b^a=be,c^a=cf,d^a=dh,i^a=i^60,c^b=cg2464 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 100969);