Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
170 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 50 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. D137⋊M16 | C2 | semidirect |
| 2. C2×C4×#10587739 | C2 | semidirect |
| 3. #17984153 | C2 | semidirect |
| 4. #17984152 | C2 | semidirect |
| 7. #14555520 | C22 | semidirect |
| 11. C4×#10587739 | C22 | semidirect |
| 14. #14555510 | C4 | semidirect |
| 17. Q8×D137 | C4 | semidirect |
| 19. D4×D137 | C4 | semidirect |
| 22. #41×C137 | C4 | semidirect |
| 29. Dic274 | C2×C4 | semidirect |
| 31. D548 | C2×C4 | semidirect |
| 44. Q8×C137 | C2×C4 | semidirect |
| 46. D4×C137 | C2×C4 | semidirect |
| 68. D137 | #104 | semidirect |
| 69. C137 | C2×#104 | semidirect |
| 81. #41 | #10587739 | semidirect |
| 97. Q8 | C2×#10587739 | semidirect |
| 104. D4 | C2×#10587739 | semidirect |