Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#16839597 |
| Fitting | C2×D16×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
698 conjugacy classes — view the full character table.
| maximal subgroup of | #29600584, C4×#16839597, #29600613, … |
| maximal normal subgroup of | #29600584, C4×#16839597, #29600613, … |
| maximal quotient of | C2×#21443996, C2×#21443997, C2×#21444018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6807);