Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
402 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 2. C2×#14556654 | C2 | semidirect |
| 4. (C2×#64408)⋊Q8 | C2 | semidirect |
| 5. #17989461 | C2 | semidirect |
| 6. #17989452 | C2 | semidirect |
| 22. C2×#11924017 | C4 | semidirect |
| 23. C2×#11924016 | C4 | semidirect |
| 24. C2×#11924015 | C4 | semidirect |
| 28. C2×SD16×C73 | C4 | semidirect |
| 48. C2×Dic146 | C2×C4 | semidirect |
| 64. C2×#10596831 | C2×C4 | semidirect |
| 67. C2×Q8×C73 | C2×C4 | semidirect |
| 70. C2×C8×C73 | C2×C4 | semidirect |
| 92. C2×#64408 | SD16 | semidirect |
| 155. C73 | #1877 | semidirect |
| 171. C2×SD16 | #64408 | semidirect |
| 191. C2×Q8 | C2×#64408 | semidirect |
| 218. C2×C8 | C2×#64408 | semidirect |