Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16840571 |
| Fitting | C2×#137×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | #29695922, #29695952, #29696004, … |
| maximal normal subgroup of | #29695922, #29695952, #29696004, … |
| maximal quotient of | C2×#21454343, C2×#21454351, C2×#21454413, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19268);