Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
216 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 2. #17989028 | C2 | semidirect |
| 3. C2×#14556534 | C2 | semidirect |
| 4. #17988399 | C2 | semidirect |
| 5. #17988393 | C2 | semidirect |
| 6. #17988371 | C2 | semidirect |
| 7. #473×C73 | C2 | semidirect |
| 18. #14556531 | C22 | semidirect |
| 19. C2×#11924003 | C22 | semidirect |
| 21. C2×Q16×C73 | C22 | semidirect |
| 23. #108×C73 | C22 | semidirect |
| 92. C73 | #2194 | semidirect |
| 96. #473 | D73 | semidirect |
| 106. C2×Q16 | C2×D73 | semidirect |
| 115. #108 | C2×D73 | semidirect |