Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×D61⋊#108 |
| unambiguous semidirect product | D61⋊(C2×#108) |
| Sylow | C61 ⋊ C22×#108 |
480 conjugacy classes of subgroups.
536 conjugacy classes — view the full character table.
| maximal subgroup of | #30602800, #30602804, #30602813, … |
| maximal normal subgroup of | #30602800, #30602804, #30602813, … |
| maximal quotient of | C2×D61⋊#334, C2×D61⋊#335, C2×#21461366, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21167);