Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C61 ⋊ #1781 |
880 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 133 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=f,b^a=bd,c^a=ce,d^a=dg,h^a=h^60,f^b=fg1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29567285, #29567286, #29567291, … |
| maximal normal subgroup of | #29567285, #29567286, #29567291, … |
| maximal quotient of | #29571340, #29571343, #29571351, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4425);