Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
210 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 53 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. #17989022 | C2 | semidirect |
| 2. C2×#14556534 | C2 | semidirect |
| 3. #17988857 | C2 | semidirect |
| 4. #17988403 | C2 | semidirect |
| 5. #17988394 | C2 | semidirect |
| 6. #17988371 | C2 | semidirect |
| 7. #578×C73 | C2 | semidirect |
| 91. C73 | #2193 | semidirect |
| 92. #578 | D73 | semidirect |