Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
370 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 370 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. Q8×Dic146 | C2 | semidirect |
| 3. #17988985 | C2 | semidirect |
| 5. #17988873 | C2 | semidirect |
| 7. C8×Q8×C73 | C2 | semidirect |
| 30. #11924017 | Q8 | direct (N × H) |
| 44. Q8×C73 | SD16 | semidirect |
| 57. Dic146 | C2×Q8 | semidirect |
| 59. C8×C73 | C2×Q8 | semidirect |
| 76. C73 | Q8×SD16 | semidirect |
| 82. C8×Q8 | D73 | semidirect |
| 124. Q8 | #11924017 | direct (N × H) |
| 135. C8 | Q8×D73 | semidirect |