Finite Group DatabasebetaFinite Group DatabasebetaOrder 6976.
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×#89137 | C2 | semidirect |
| 3. #16812767 | C2 | semidirect |
| 4. #16812762 | C2 | semidirect |
| 6. C8×#89137 | C2 | semidirect |
| 18. #13182018 | C4 | semidirect |
| 19. #13182017 | C4 | semidirect |
| 20. #13182016 | C4 | semidirect |
| 22. SD16×C109 | C4 | semidirect |
| 29. Q8×C109 | C2×C4 | semidirect |
| 36. Dic218 | C2×C4 | semidirect |
| 38. C8×C109 | C2×C4 | semidirect |
| 39. #11724784 | C2×C4 | semidirect |
| 48. #89137 | SD16 | direct (N × H) |
| 58. C109 | C4×SD16 | semidirect |
| 73. SD16 | #89137 | direct (N × H) |
| 85. Q8 | C2×#89137 | semidirect |
| 98. C8 | C2×#89137 | semidirect |