Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
462 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 123 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. #23752922 | C2 | semidirect |
| 3. #23752558 | C2 | semidirect |
| 4. #23752529 | C2 | semidirect |
| 5. #23752503 | C2 | semidirect |
| 6. #23752438 | C2 | semidirect |
| 7. #23752361 | C2 | semidirect |
| 8. C4×#14558991 | C2 | semidirect |
| 9. #23752277 | C2 | semidirect |
| 10. #102×D151 | C2 | semidirect |
| 11. #460×C151 | C2 | semidirect |
| 15. C2×C8×D151 | C22 | semidirect |
| 16. #18012739 | C22 | semidirect |
| 19. #18012715 | C22 | semidirect |
| 26. C4⋊C4×D151 | C22 | semidirect |
| 27. #18012671 | C22 | semidirect |
| 28. #18012670 | C22 | semidirect |
| 29. #18012663 | C22 | semidirect |
| 31. #18012660 | C22 | semidirect |
| 32. #18012660 | C22 | semidirect |
| 34. (C2×D151)⋊C8 | C22 | semidirect |
| 35. C4×C151⋊C8 | C22 | semidirect |
| 36. C2×SD16×C151 | C22 | semidirect |
| 38. C4×Q8×C151 | C22 | semidirect |
| 39. C4⋊C8×C151 | C22 | semidirect |
| 40. #102×C151 | C22 | semidirect |
| 84. D604 | SD16 | semidirect |
| 136. C151 | #3295 | semidirect |
| 144. #460 | D151 | semidirect |
| 152. C2×SD16 | C2×D151 | semidirect |
| 162. C4×Q8 | C2×D151 | semidirect |
| 169. C4⋊C8 | C2×D151 | semidirect |
| 175. #102 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752922 | 2 |
| #23752847 | 2 |
| #23752558 | 2 |
| #23752529 | 2 |
| #23752503 | 2 |
| #23752438 | 2 |
| #23752361 | 2 |
| C4×#14558991 | 2 |
| #23752277 | 2 |
| #102×D151 | 2 |
| #460×C151 | 2 |
| #3295 | 151 |