Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
198 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14556536 | C2 | semidirect |
| 2. C2×#14556535 | C2 | semidirect |
| 3. C2×#14556532 | C2 | semidirect |
| 4. #17988970 | C2 | semidirect |
| 5. #17988962 | C2 | semidirect |
| 6. #17988362 | C2 | semidirect |
| 7. C2×D16×C73 | C2 | semidirect |
| 35. #11924003 | D4 | semidirect |
| 43. C16×C73 | D4 | semidirect |
| 79. C73 | #2250 | semidirect |
| 83. C2×D16 | D73 | semidirect |
| 122. C16 | C22⋊D73 | semidirect |