Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
122 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 44 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. Q8×#10587739 | C2 | semidirect |
| 3. #17984156 | C2 | semidirect |
| 4. #17984151 | C2 | semidirect |
| 6. C8×#10587739 | C2 | semidirect |
| 18. #14555499 | C4 | semidirect |
| 19. #14555498 | C4 | semidirect |
| 20. #14555497 | C4 | semidirect |
| 22. SD16×C137 | C4 | semidirect |
| 31. Dic274 | C2×C4 | semidirect |
| 36. #11764040 | C2×C4 | semidirect |
| 37. Q8×C137 | C2×C4 | semidirect |
| 39. C8×C137 | C2×C4 | semidirect |
| 48. #10587739 | SD16 | direct (N × H) |
| 58. C137 | C4×SD16 | semidirect |
| 73. SD16 | #10587739 | direct (N × H) |
| 85. Q8 | C2×#10587739 | semidirect |
| 98. C8 | C2×#10587739 | semidirect |