Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D8×D61 |
| Fitting | C4×D8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×C4×D8 |
616 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1331, #29589760, D61×#1333, … |
| maximal normal subgroup of | D61×#1331, #29589760, D61×#1333, … |
| maximal quotient of | C8×D8×D61, D61×#1581, D61×#1589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13257);