Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C61 ⋊ #2166 |
122 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=e,c^2=d,e^2=f,f^2=g,b^a=bd,c^a=cf,d^a=dg,h^a=h^11,c^b=cg,e^b=eg,h^b=h^60,e^c=eg,h^e=h^60512 conjugacy classes — view the full character table.
| maximal subgroup of | #30605014, #30605016, #30605018, … |
| maximal normal subgroup of | #30605014, #30605016, #30605018, … |
| maximal quotient of | #30606371, #30606431, #30606690, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20885);