Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
256 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 23. #11762639 | C4 | semidirect |
| 24. #11762638 | C4 | semidirect |
| 25. #11762638 | C4 | semidirect |
| 26. C17×#368 | C4 | semidirect |
| 141. #368 | #595 | semidirect |
| 184. C17 | #13175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763734 | 2 |
| #14545003 | 2 |
| #14544903 | 2 |
| #14544901 | 2 |
| #14543853 | 2 |
| #14543850 | 2 |
| #14530577 | 2 |
| #13175 | 17 |