Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
456 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 88 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×C4⋊#64408 | C2 | semidirect |
| 2. C2×#14556653 | C2 | semidirect |
| 3. #17989555 | C2 | semidirect |
| 4. #17989460 | C2 | semidirect |
| 17. #14556566 | C4 | semidirect |
| 18. #14556565 | C4 | semidirect |
| 21. #14556562 | C4 | semidirect |
| 24. #121×C73 | C4 | semidirect |
| 34. C4⋊#64408 | D4 | semidirect |
| 38. C2×D292 | C2×C4 | semidirect |
| 54. C4⋊Dic73 | C2×C4 | semidirect |
| 60. C2×D4×C73 | C2×C4 | semidirect |
| 62. C4⋊C4×C73 | C2×C4 | semidirect |
| 114. C22×C73 | #102 | semidirect |
| 129. C2×D73 | #102 | semidirect |
| 155. C73 | #1874 | semidirect |
| 171. #121 | #64408 | semidirect |
| 192. C2×D4 | C2×#64408 | semidirect |
| 214. C4⋊C4 | C2×#64408 | semidirect |
| 289. C22 | #14556653 | semidirect |