Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | #131×C61 ⋊ C4 |
| Sylow | C61 ⋊ #1764 |
300 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 90 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,61|a^2=e,b^2=f,c^2=e,d^2=g,e^2=g,b^a=bd,d^a=dg,f^a=fg,h^b=h^11,h^f=h^60356 conjugacy classes — view the full character table.
| maximal subgroup of | #30606462, #30606467, #30606468, … |
| maximal normal subgroup of | #30606462, #30606467, #30606468, … |
| maximal quotient of | #30597591, #30597593, #30597599, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20284);