Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
190 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 190 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. #17984167 | C2 | semidirect |
| 3. #17984150 | C2 | semidirect |
| 7. #14555518 | C22 | semidirect |
| 8. C4⋊#10587739 | C22 | semidirect |
| 12. C2×D548 | C4 | semidirect |
| 16. D4×D137 | C4 | semidirect |
| 19. C2×D4×C137 | C4 | semidirect |
| 61. C137 | #418 | semidirect |
| 74. C2×D4 | #10587739 | semidirect |