Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
390 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 74 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. C22×#11924037 | C2 | semidirect |
| 2. C2×#14556651 | C2 | semidirect |
| 3. #17989557 | C2 | semidirect |
| 4. #17989467 | C2 | semidirect |
| 29. #11924037 | D4 | semidirect |
| 114. C22×C73 | #100 | semidirect |
| 137. C73 | #1900 | semidirect |
| 255. C22 | #14556651 | semidirect |