Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | AGL(1,ℤ/8)×#6923 |
| Fitting | AGL(1,ℤ/8)×C61 ⋊ C4 |
| Sylow | C61 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
209 conjugacy classes — view the full character table.
| maximal subgroup of | #453×#6923, #454×#6923, #30616907, … |
| maximal normal subgroup of | #453×#6923, #454×#6923, #30616907, … |
| maximal quotient of | AGL(1,ℤ/8)×#92420, #30612304, #30612305, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21265);