Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D61 |
| Fitting | C61×#344 ⋊ C2 |
| Sylow | C61 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#344×D61, #29677468, D61×#1757, … |
| maximal normal subgroup of | C2×#344×D61, #29677468, D61×#1757, … |
| maximal quotient of | D61×#1281, #29569642, #29569645, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4250);