Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
232 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 69 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×#14556530 | C2 | semidirect |
| 3. #107×D73 | C2 | semidirect |
| 4. #17988391 | C2 | semidirect |
| 5. #17988389 | C2 | semidirect |
| 6. #17988387 | C2 | semidirect |
| 7. #358×C73 | C2 | semidirect |
| 10. #14556614 | C4 | semidirect |
| 31. D584 | C2×C4 | semidirect |
| 40. Q16×C73 | C2×C4 | semidirect |
| 82. C73 | #2139 | semidirect |
| 87. #358 | D73 | semidirect |
| 113. Q16 | C4×D73 | semidirect |