Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #339×D61 |
| Fitting | C61×#339 ⋊ C2 |
| Sylow | C61 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#339×D61, D61×#1733, #29677402, … |
| maximal normal subgroup of | C2×#339×D61, D61×#1733, #29677402, … |
| maximal quotient of | D61×#1276, #29569453, #29569459, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4214);