Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 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×#11924015 | C2 | semidirect |
| 2. C22×#11924013 | C2 | semidirect |
| 3. C2×#14556588 | C2 | semidirect |
| 4. #17988977 | C2 | direct (N × H) |
| 5. C2×#14556502 | C2 | semidirect |
| 6. C2×#124×C73 | C2 | semidirect |
| 10. C2×#11924015 | C22 | semidirect |
| 12. C2×#11924013 | C22 | semidirect |
| 15. #14556588 | C22 | semidirect |
| 16. #14556502 | C22 | semidirect |
| 20. #124×C73 | C22 | semidirect |
| 32. C2×#10596831 | D4 | semidirect |
| 69. #10596831 | C2×D4 | semidirect |
| 84. C2×C73 | #496 | semidirect |
| 89. C73 | C2×#496 | semidirect |
| 93. C2×#124 | D73 | semidirect |
| 108. #124 | C2×D73 | semidirect |
| 174. C2 | #17988977 | direct (N × H) |