Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16840564 |
| Fitting | C2×#135×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #29595699, #29595707, #29595734, … |
| maximal normal subgroup of | #29595699, #29595707, #29595734, … |
| maximal quotient of | C2×#21454341, C2×#21454416, C2×#21454646, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19260);