Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
164 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 55 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. C2×#14556534 | C2 | semidirect |
| 2. C22×#11924003 | C2 | semidirect |
| 4. #17988414 | C2 | semidirect |
| 5. #17988391 | C2 | semidirect |
| 6. #17988387 | C2 | semidirect |
| 7. #467×C73 | C2 | semidirect |
| 28. #11924003 | D4 | semidirect |
| 59. C22×C73 | SD32 | semidirect |
| 76. C73 | #2217 | semidirect |
| 79. #467 | D73 | semidirect |
| 138. C22 | #14556534 | semidirect |