Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C61 ⋊ #22402 |
1540 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
Polycyclic presentation:
2^8,61|a^2=g,g^2=h,b^a=be,c^a=cf,i^a=i^11,c^b=ch,d^b=de,i^b=i^60,d^c=dh,i^c=i^60,i^d=i^60,i^g=i^60496 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1109667);