Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C61 ⋊ #1338 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=e,c^2=eg,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^11,c^b=ceg,d^b=dg,h^b=h^60,h^d=h^60338 conjugacy classes — view the full character table.
| maximal subgroup of | D61⋊#1338, C2×#21460788, #30604460, … |
| maximal normal subgroup of | D61⋊#1338, C2×#21460788, #30604460, … |
| maximal quotient of | #30594139, #30594159, #30594284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19479);