Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#14519845 |
| Fitting | C4×C8×C61 ⋊ C4 |
| Sylow | C61 ⋊ C4×#106 |
280 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
536 conjugacy classes — view the full character table.
| maximal subgroup of | #30594295, #30594296, #30594298, … |
| maximal normal subgroup of | #30594295, #30594296, #30594298, … |
| maximal quotient of | C4×#16840623, C4×#16840624, #30598009, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20320);