Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16840753 |
| unambiguous semidirect product | D61⋊#417 |
| Fitting | C2×#41×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
344 conjugacy classes — view the full character table.
| maximal subgroup of | #30602546, #30602547, #30602566, … |
| maximal normal subgroup of | #30602546, #30602547, #30602566, … |
| maximal quotient of | C2×#21461114, D61⋊#1477, C2×#21461115, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21129);