Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 153 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×#14556613 | C2 | semidirect |
| 2. C2×#14556611 | C2 | semidirect |
| 3. #17989133 | C2 | semidirect |
| 4. #17988972 | C2 | semidirect |
| 5. #17988970 | C2 | semidirect |
| 6. #17988968 | C2 | semidirect |
| 7. #17988965 | C2 | semidirect |
| 8. #17988962 | C2 | semidirect |
| 9. #17988958 | C2 | semidirect |
| 10. C2×C8×Dic73 | C2 | semidirect |
| 11. C2×#135×C73 | C2 | semidirect |
| 55. C2×#10596831 | D4 | semidirect |
| 74. C2×C8×C73 | D4 | semidirect |
| 119. Dic73 | #135 | semidirect |
| 126. C73 | #3147 | semidirect |
| 129. C2×#135 | D73 | semidirect |
| 194. C2×C8 | C22⋊D73 | semidirect |