Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
224 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 67 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. C2×C16×D73 | C2 | semidirect |
| 3. #108×D73 | C2 | semidirect |
| 4. #17988395 | C2 | semidirect |
| 5. #17988394 | C2 | semidirect |
| 6. #17988393 | C2 | semidirect |
| 7. #359×C73 | C2 | semidirect |
| 19. C2×#11924003 | C22 | semidirect |
| 22. #14556527 | C22 | semidirect |
| 25. C2×C16×C73 | C22 | semidirect |
| 26. #108×C73 | C22 | semidirect |
| 107. D73 | #359 | direct (N × H) |
| 109. C73 | C2×#359 | semidirect |
| 116. #359 | D73 | direct (N × H) |
| 132. C2×C16 | C2×D73 | semidirect |
| 135. #108 | C2×D73 | semidirect |