Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
360 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 96 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. C4×#11924037 | C2 | semidirect |
| 3. #17989467 | C2 | semidirect |
| 6. #14556651 | C4 | direct (N × H) |
| 19. #11924037 | C2×C4 | semidirect |
| 88. C4×C73 | #100 | semidirect |
| 100. C73 | C4×#100 | semidirect |
| 191. C4 | #14556651 | direct (N × H) |