Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1318 conjugacy classes of subgroups; only the 195 normal subgroups are shown.
This group has 1318 conjugacy classes of subgroups — too many to draw. Only its 195 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×#11763421 | C2 | semidirect |
| 3. #14529930 | C2 | semidirect |
| 4. #14529866 | C2 | semidirect |
| 5. #14529142 | C2 | semidirect |
| 6. #14529096 | C2 | semidirect |
| 7. #14528855 | C2 | semidirect |
| 11. C2×#10587555 | C22 | semidirect |
| 13. C2×#10587556 | C22 | semidirect |
| 16. C2×C4×Dic34 | C22 | semidirect |
| 18. C2×#10587481 | C22 | semidirect |
| 21. #11762571 | C22 | semidirect |
| 22. #11762564 | C22 | semidirect |
| 23. #11762564 | C22 | semidirect |
| 258. C17 | #23942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763421 | 2 |
| C2×#11762960 | 2 |
| #14529930 | 2 |
| #14529866 | 2 |
| #14529142 | 2 |
| #14529096 | 2 |
| #14528855 | 2 |
| C17×#2309 | 2 |
| #23942 | 17 |