Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
992 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 210 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×D73⋊M16 | C2 | semidirect |
| 2. D73⋊#100 | C2 | direct (N × H) |
| 3. C2×#14556651 | C2 | semidirect |
| 7. D73⋊M16 | C22 | semidirect |
| 8. C2×#11924037 | C22 | semidirect |
| 10. #14556651 | C22 | semidirect |
| 23. #11924037 | C23 | semidirect |
| 108. C2×D73 | #100 | semidirect |
| 117. C2×C73 | C2×#100 | semidirect |
| 121. D73 | C2×#100 | semidirect |
| 123. C73 | C22×#100 | semidirect |
| 243. C2 | D73⋊#100 | direct (N × H) |