Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
384 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 126 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. C2×C8×#64408 | C2 | semidirect |
| 4. #17989452 | C2 | semidirect |
| 9. #14556648 | C4 | semidirect |
| 10. C22⋊#10596833 | C4 | semidirect |
| 14. C22×#10596831 | C4 | semidirect |
| 16. C2×C8×D73 | C4 | semidirect |
| 17. C2×C8×D73 | C4 | semidirect |
| 20. C22×C8×C73 | C4 | semidirect |
| 25. C22⋊#64408 | C8 | direct (N × H) |
| 55. C2×#64408 | C2×C8 | semidirect |
| 71. C8×C73 | C22⋊C4 | semidirect |
| 73. #10596831 | C22⋊C4 | semidirect |
| 76. C22×C73 | C4×C8 | semidirect |
| 81. C2×D73 | C4×C8 | semidirect |
| 98. C73 | C8×C22⋊C4 | semidirect |
| 112. C22×C8 | #64408 | semidirect |
| 171. C8 | C22⋊#64408 | direct (N × H) |
| 181. C22 | C8×#64408 | semidirect |