Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
272 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 74 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. C2×#14556664 | C2 | semidirect |
| 2. C2×#14556660 | C2 | semidirect |
| 3. #17989499 | C2 | direct (N × H) |
| 7. #14556664 | C22 | semidirect |
| 10. #14556660 | C22 | semidirect |
| 12. C2×D584 | C4 | semidirect |
| 16. D8×D73 | C4 | semidirect |
| 19. C2×D8×C73 | C4 | semidirect |
| 33. D584 | C2×C4 | semidirect |
| 43. D8×C73 | C2×C4 | semidirect |
| 88. C2×C73 | #357 | semidirect |
| 91. D73 | #357 | semidirect |
| 95. C73 | C2×#357 | semidirect |
| 107. C2×D8 | #64408 | semidirect |
| 130. D8 | C2×#64408 | semidirect |
| 187. C2 | #17989499 | direct (N × H) |