Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
440 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 149 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×D568 | C2 | semidirect |
| 2. C2×#14556069 | C2 | direct (N × H) |
| 3. C22×C71⋊C16 | C2 | semidirect |
| 4. C22×D8×C71 | C2 | semidirect |
| 7. C2×D568 | C22 | semidirect |
| 8. #14556069 | C22 | direct (N × H) |
| 9. C2×C71⋊C16 | C22 | semidirect |
| 12. C2×D8×C71 | C22 | semidirect |
| 18. D568 | C23 | semidirect |
| 19. C71⋊C16 | C23 | semidirect |
| 25. D8×C71 | C23 | semidirect |
| 43. C22×C71 | D16 | semidirect |
| 50. C2×C71 | C2×D16 | semidirect |
| 54. C71 | C22×D16 | semidirect |
| 56. C22×D8 | D71 | semidirect |
| 64. C2×D8 | C2×D71 | semidirect |
| 78. D8 | C22×D71 | semidirect |
| 99. C22 | #14556069 | direct (N × H) |
| 105. C2 | C2×#14556069 | direct (N × H) |