Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C61×#466 ⋊ C2 |
| Sylow | C61 ⋊ #3055 |
548 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,h^b=h^60,h^d=h^60692 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3055, C2×#21455435, #30547175, … |
| maximal normal subgroup of | D61×#3055, C2×#21455435, #30547175, … |
| maximal quotient of | #29662778, #29662800, #29662822, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14126);