Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C61×#467 ⋊ C2 |
| Sylow | C61 ⋊ #3181 |
366 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^c=dg,h^c=h^60,h^d=h^60692 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3181, C2×#21456523, #30549941, … |
| maximal normal subgroup of | D61×#3181, C2×#21456523, #30549941, … |
| maximal quotient of | #29680600, #29684336, #29684342, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15214);