Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C61×#468 ⋊ C2 |
| Sylow | C61 ⋊ #3174 |
362 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|b^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^c=h^60,h^d=h^60512 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3174, C2×#21456442, #30549863, … |
| maximal normal subgroup of | D61×#3174, C2×#21456442, #30549863, … |
| maximal quotient of | #29680571, #29684271, #29684275, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15133);