Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C61 ⋊ #1372 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=ceg,c^2=eg,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^b=h^60884 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1372, C2×#21443892, #29591595, … |
| maximal normal subgroup of | D61×#1372, C2×#21443892, #29591595, … |
| maximal quotient of | #29566754, #29566882, #29567695, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2583);