Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
390 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 85 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×M16×D73 | C2 | semidirect |
| 3. C2×#14556508 | C2 | semidirect |
| 4. #17988550 | C2 | semidirect |
| 5. #17988355 | C2 | semidirect |
| 6. #17988355 | C2 | semidirect |
| 7. C2×#100×C73 | C2 | semidirect |
| 46. #11924012 | D4 | semidirect |
| 66. M16×C73 | D4 | semidirect |
| 128. C2×D73 | #100 | semidirect |
| 145. C73 | #1900 | semidirect |
| 149. C2×#100 | D73 | semidirect |
| 204. M16 | C22⋊D73 | semidirect |