Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
326 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 326 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. #17988629 | C2 | semidirect |
| 3. C2×#14556517 | C2 | semidirect |
| 4. #17988589 | C2 | semidirect |
| 5. #17988490 | C2 | semidirect |
| 6. #17988348 | C2 | semidirect |
| 7. C2×#100×C73 | C2 | semidirect |
| 61. M16×C73 | D4 | semidirect |
| 131. C73 | #2037 | semidirect |
| 136. C2×#100 | D73 | semidirect |
| 181. M16 | C22⋊D73 | semidirect |