Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #413×D61 |
| Fitting | C61×#413 ⋊ C2 |
| Sylow | C61 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1392, #29594975, D61×#1395, … |
| maximal normal subgroup of | D61×#1392, #29594975, D61×#1395, … |
| maximal quotient of | D61×#1458, D61×#1459, #29645821, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 12981);