Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
280 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 7. #14556659 | C4 | direct (N × H) |
| 12. C4×#10596831 | C4 | semidirect |
| 13. C8×Dic73 | C4 | semidirect |
| 14. C8×Dic73 | C4 | semidirect |
| 15. C4×C8×C73 | C4 | semidirect |
| 48. C8×C73 | C42 | semidirect |
| 50. #10596831 | C42 | semidirect |
| 57. C4×C73 | #106 | semidirect |
| 61. Dic73 | #106 | semidirect |
| 68. C73 | C4×#106 | semidirect |
| 82. C4×C8 | #64408 | semidirect |
| 118. C8 | C4×#64408 | semidirect |
| 128. C4 | #14556659 | direct (N × H) |