Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #23752769 | C2 | semidirect |
| 2. #23752584 | C2 | semidirect |
| 3. #23752558 | C2 | semidirect |
| 4. #23752409 | C2 | semidirect |
| 5. #23752363 | C2 | semidirect |
| 6. #23752265 | C2 | semidirect |
| 8. C2×#14558992 | C22 | semidirect |
| 9. #18012739 | C22 | semidirect |
| 10. #18012739 | C22 | semidirect |
| 15. C4×Dic302 | C22 | semidirect |
| 17. C4⋊(C151⋊C8) | C22 | semidirect |
| 18. #18012660 | C22 | semidirect |
| 20. C4×C151⋊C8 | C22 | semidirect |
| 76. C2×C4×C151 | SD16 | semidirect |
| 104. C151 | #3208 | semidirect |
| 180. C2×C4 | #14558992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| #23752584 | 2 |
| #23752558 | 2 |
| #23752409 | 2 |
| #23752363 | 2 |
| #23752265 | 2 |
| C2×#127×C151 | 2 |
| #3208 | 151 |