Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C61×#485 ⋊ C2 |
| Sylow | C61 ⋊ #3093 |
414 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|b^2=g,c^2=e,f^2=g,b^a=be,c^a=cf,d^a=dg,f^a=fg,h^a=h^60,f^c=fg,h^d=h^60602 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3093, C2×#21455751, #30547823, … |
| maximal normal subgroup of | D61×#3093, C2×#21455751, #30547823, … |
| maximal quotient of | #29679814, #29680750, #29681243, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14442);