Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
332 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 9. #14556654 | C4 | direct (N × H) |
| 14. Q8×Dic73 | C4 | semidirect |
| 16. C4×Dic146 | C4 | semidirect |
| 18. #14556556 | C4 | semidirect |
| 23. C4×Q8×C73 | C4 | semidirect |
| 61. Q8×C73 | C42 | semidirect |
| 81. Dic146 | C42 | semidirect |
| 92. C4×C73 | #103 | semidirect |
| 98. Dic73 | #103 | semidirect |
| 106. C73 | C4×#103 | semidirect |
| 119. C4×Q8 | #64408 | semidirect |
| 167. Q8 | C4×#64408 | semidirect |
| 203. C4 | #14556654 | direct (N × H) |