Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
272 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 10. #14556660 | C4 | semidirect |
| 11. #14556645 | C4 | semidirect |
| 15. #14556523 | C4 | semidirect |
| 16. #14556522 | C4 | semidirect |
| 17. #106×C73 | C4 | semidirect |
| 55. C8×C73 | C42 | semidirect |
| 56. #10596831 | C42 | semidirect |
| 76. C73 | #1776 | semidirect |
| 91. #106 | #64408 | semidirect |
| 132. C8 | C4×#64408 | semidirect |