Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C61 ⋊ #1336 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,c^2=e,d^2=f,e^2=g,f^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^11,c^b=ceg,d^b=dg,e^b=eg,h^d=h^60242 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#21460783, D61⋊#1336, #30604441, … |
| maximal normal subgroup of | C2×#21460783, D61⋊#1336, #30604441, … |
| maximal quotient of | #30594045, #30594047, #30594049, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19474);