Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
552 conjugacy classes of subgroups; only the 186 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 186 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. C22×#11924038 | C2 | semidirect |
| 2. C22×#11924037 | C2 | semidirect |
| 3. #17989620 | C2 | direct (N × H) |
| 4. C2×#14556658 | C2 | semidirect |
| 5. C2×#14556648 | C2 | semidirect |
| 6. C2×C22⋊#10596833 | C2 | semidirect |
| 7. C2×C4×#10596833 | C2 | semidirect |
| 10. C2×#11924038 | C22 | semidirect |
| 12. C2×#11924037 | C22 | semidirect |
| 17. #14556658 | C22 | semidirect |
| 18. #14556648 | C22 | semidirect |
| 19. C22⋊#10596833 | C22 | semidirect |
| 20. C4×#10596833 | C22 | semidirect |
| 35. C2×#10596833 | D4 | semidirect |
| 80. C2×Dic73 | M16 | semidirect |
| 93. #10596833 | C2×D4 | semidirect |
| 110. Dic73 | C2×M16 | semidirect |
| 114. C2×C73 | #436 | semidirect |
| 120. C73 | C2×#436 | semidirect |
| 235. C2 | #17989620 | direct (N × H) |