Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×AGL(1,ℤ/8)×D61 |
| Fitting | C2×AGL(1,ℤ/8)×C61 ⋊ C2 |
| Sylow | C61 ⋊ C22×AGL(1,ℤ/8) |
1720 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1883, #29681541, D61×#1903, … |
| maximal normal subgroup of | D61×#1883, #29681541, D61×#1903, … |
| maximal quotient of | C2×#418×D61, C2×#417×D61, C2×#428×D61, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19240);