Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
428 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 88 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. #17989588 | C2 | semidirect |
| 2. C2×#14556653 | C2 | semidirect |
| 3. C4×C4⋊#64408 | C2 | semidirect |
| 15. #14556588 | C4 | semidirect |
| 18. #14556587 | C4 | semidirect |
| 20. #127×C73 | C4 | semidirect |
| 25. C4⋊#64408 | D4 | semidirect |
| 96. C4×C73 | #102 | semidirect |
| 99. Dic73 | #102 | semidirect |
| 110. C73 | #1982 | semidirect |
| 123. #127 | #64408 | semidirect |
| 210. C4 | #14556653 | semidirect |