Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
400 conjugacy classes of subgroups; only the 199 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 199 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×#14556688 | C2 | semidirect |
| 2. #17989706 | C2 | direct (N × H) |
| 3. C2×#14556687 | C2 | semidirect |
| 4. C2×#14556686 | C2 | semidirect |
| 6. #14556688 | C22 | semidirect |
| 7. #14556687 | C22 | semidirect |
| 8. #14556686 | C22 | semidirect |
| 9. C2×#11924040 | C22 | semidirect |
| 19. #11924040 | C23 | semidirect |
| 70. C2×D73 | M32 | semidirect |
| 79. C2×C73 | C2×M32 | semidirect |
| 82. D73 | C2×M32 | semidirect |
| 84. C73 | C22×M32 | semidirect |
| 165. C2 | #17989706 | direct (N × H) |