Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C61 ⋊ #1376 |
148 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=e,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=cg,e^a=eg,h^a=h^11,h^b=h^60,h^d=h^60536 conjugacy classes — view the full character table.
| maximal subgroup of | #30594130, #30594131, #30594140, … |
| maximal normal subgroup of | #30594130, #30594131, #30594140, … |
| maximal quotient of | #30594181, #30594195, #30594205, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19555);