Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
220 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16840197 | C2 | semidirect |
| 2. C2×#14519718 | C2 | semidirect |
| 3. #16840032 | C2 | semidirect |
| 4. #16839575 | C2 | semidirect |
| 5. #16839569 | C2 | semidirect |
| 6. #16839546 | C2 | semidirect |
| 7. C61×#576 | C2 | semidirect |
| 9. C2×D488 | C22 | semidirect |
| 13. #14519717 | C22 | semidirect |
| 14. C2×#11758185 | C22 | semidirect |
| 15. #14519713 | C22 | semidirect |
| 94. #576 | D61 | semidirect |
| 101. C61 | #2192 | semidirect |