Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16839504 |
| Sylow | C61 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
878 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16839504, #330×Dic61, #29570939, … |
| maximal normal subgroup of | C4×#16839504, #330×Dic61, #29570939, … |
| maximal quotient of | C2×#21443642, #29567985, #29568239, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 3094);