Finite Group DatabasebetaFinite Group DatabasebetaOrder 18752.
122 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 51 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. #22627589 | C2 | semidirect |
| 4. #22627555 | C2 | semidirect |
| 5. #22627549 | C2 | semidirect |
| 6. C8×Dic293 | C2 | semidirect |
| 10. #17989790 | C4 | semidirect |
| 21. Dic586 | C2×C4 | semidirect |
| 27. #14556873 | C2×C4 | semidirect |
| 44. Dic293 | SD16 | semidirect |
| 49. C293 | C4×SD16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989790 | 2 |
| #22627589 | 2 |
| D4×Dic293 | 2 |
| #22627555 | 2 |
| #22627549 | 2 |
| C8×Dic293 | 2 |
| #102×C293 | 2 |
| C4×SD16 | 293 |