Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | #410×D61 |
| Fitting | C61×#410 ⋊ C2 |
| Sylow | C61 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1391, #29594969, D61×#1395, … |
| maximal normal subgroup of | D61×#1391, #29594969, D61×#1395, … |
| maximal quotient of | D61×#1458, D61×#1460, D61×#1461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 12964);