Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | #103×Dic61 |
| Sylow | C61 ⋊ C4×#103 |
332 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#103×D61, C2×#103×Dic61, C4×#16839757, … |
| maximal normal subgroup of | C4×#103×D61, C2×#103×Dic61, C4×#16839757, … |
| maximal quotient of | Q8⋊C8×Dic61, #29570642, #29570647, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4332);