Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
444 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 133 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. #23752547 | C2 | semidirect |
| 3. #23752492 | C2 | semidirect |
| 4. #23752417 | C2 | semidirect |
| 6. #23752312 | C2 | semidirect |
| 7. #23752269 | C2 | semidirect |
| 10. #18012739 | C22 | semidirect |
| 11. #18012739 | C22 | semidirect |
| 16. C4×Dic302 | C22 | semidirect |
| 18. #18012672 | C22 | semidirect |
| 19. C4⋊(C151⋊C8) | C22 | semidirect |
| 20. #18012662 | C22 | semidirect |
| 23. #18012650 | C22 | semidirect |
| 112. C151 | #3110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| #23752547 | 2 |
| #23752492 | 2 |
| #23752417 | 2 |
| #23752363 | 2 |
| #23752312 | 2 |
| #23752269 | 2 |
| C2×C4×D4×C151 | 2 |
| #3110 | 151 |