Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C61×#432 ⋊ C2 |
| Sylow | C61 ⋊ #1535 |
200 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 65 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,c^2=f,d^2=g,e^2=f,b^a=bd,c^a=cg,d^a=df,d^b=dg,e^b=efg,h^b=h^60866 conjugacy classes — view the full character table.
| maximal subgroup of | #29572351, #29572356, #29572358, … |
| maximal normal subgroup of | #29572351, #29572356, #29572358, … |
| maximal quotient of | #29568096, #29568104, #29568116, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 3139);