Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C61 ⋊ #2153 |
152 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=e,b^2=d,d^2=g,e^2=f,f^2=g,b^a=bd,d^a=dg,h^a=h^11,c^b=cg,h^b=h^60,h^e=h^60344 conjugacy classes — view the full character table.
| maximal subgroup of | #30605717, #30605718, #30605720, … |
| maximal normal subgroup of | #30605717, #30605718, #30605720, … |
| maximal quotient of | #30605749, #30605775, #30605805, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20853);