Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
228 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 64 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×#14556664 | C2 | semidirect |
| 2. #17989597 | C2 | semidirect |
| 3. #17989500 | C2 | semidirect |
| 4. #17989499 | C2 | semidirect |
| 13. #14556614 | C4 | semidirect |
| 14. #14556613 | C4 | semidirect |
| 17. #14556610 | C4 | semidirect |
| 22. #135×C73 | C4 | semidirect |
| 103. C73 | #2138 | semidirect |
| 115. #135 | #64408 | semidirect |