Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#16839562 |
| Fitting | C2×#107×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#357 |
272 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #29595216, C4×#16839562, #29595226, … |
| maximal normal subgroup of | #29595216, C4×#16839562, #29595226, … |
| maximal quotient of | C2×#21443779, #29589987, #29590039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6207);