Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
426 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 91 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#11758201 | C2 | semidirect |
| 3. C2×#14519701 | C2 | semidirect |
| 4. C2×#14519698 | C2 | semidirect |
| 5. #16839664 | C2 | semidirect |
| 6. #16839517 | C2 | semidirect |
| 7. C2×#124×C61 | C2 | semidirect |
| 136. C2×#124 | D61 | semidirect |
| 141. C61 | #2012 | semidirect |