Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
992 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 218 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 | direct (N × H) |
| 5. C2×#11924037 | C22 | semidirect |
| 7. #14556651 | C22 | direct (N × H) |
| 16. #11924037 | C23 | semidirect |
| 68. C22×C73 | #100 | semidirect |
| 81. C2×C73 | C2×#100 | semidirect |
| 85. C73 | C22×#100 | semidirect |
| 157. C22 | #14556651 | direct (N × H) |
| 167. C2 | C2×#14556651 | direct (N × H) |