Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
564 conjugacy classes of subgroups; only the 194 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 194 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×#11758213 | C2 | semidirect |
| 2. C23×#92420 | C2 | semidirect |
| 3. #16840791 | C2 | direct (N × H) |
| 4. C2×C4⋊#92420 | C2 | semidirect |
| 5. C2×#14519834 | C2 | semidirect |
| 6. C2×C22⋊#92420 | C2 | semidirect |
| 7. C2×#14519832 | C2 | semidirect |
| 10. C2×#11758213 | C22 | semidirect |
| 16. C22×#92420 | C22 | semidirect |
| 17. C4⋊#92420 | C22 | semidirect |
| 18. #14519834 | C22 | semidirect |
| 19. C22⋊#92420 | C22 | semidirect |
| 20. #14519832 | C22 | semidirect |
| 51. C2×#92420 | D4 | semidirect |
| 64. C23×C61 | M16 | semidirect |
| 93. #92420 | C2×D4 | semidirect |
| 99. C22×C61 | C2×M16 | semidirect |
| 115. C2×C61 | #435 | semidirect |
| 128. C61 | C2×#435 | semidirect |
| 188. C23 | #11758213 | semidirect |
| 223. C22 | C2×#11758213 | semidirect |
| 235. C2 | #16840791 | direct (N × H) |