Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
520 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 520 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. C2×#18012762 | C2 | semidirect |
| 2. C22×C8×D151 | C2 | semidirect |
| 3. #23752725 | C2 | semidirect |
| 4. #23752450 | C2 | semidirect |
| 5. #23752449 | C2 | semidirect |
| 6. #23752448 | C2 | semidirect |
| 7. #23752444 | C2 | semidirect |
| 8. #23752443 | C2 | semidirect |
| 9. #23752249 | C2 | semidirect |
| 10. #23752207 | C2 | semidirect |
| 11. #467×C151 | C2 | semidirect |
| 15. C2×#14558991 | C22 | semidirect |
| 16. C2×D1208 | C22 | semidirect |
| 31. #18012673 | C22 | semidirect |
| 32. #18012670 | C22 | semidirect |
| 33. #18012663 | C22 | semidirect |
| 34. #18012661 | C22 | semidirect |
| 35. #18012659 | C22 | semidirect |
| 36. C2×Q16×C151 | C22 | semidirect |
| 39. #107×C151 | C22 | semidirect |
| 40. #103×C151 | C22 | semidirect |
| 64. C8×D151 | D4 | semidirect |
| 118. C22×C151 | #135 | semidirect |
| 129. C2×D151 | #135 | semidirect |
| 145. C151 | #3050 | semidirect |
| 151. #467 | D151 | semidirect |
| 161. C2×Q16 | C2×D151 | semidirect |
| 181. #107 | C2×D151 | semidirect |
| 184. #103 | C2×D151 | semidirect |
| 274. C22 | #18012762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012762 | 2 |
| C22×C8×D151 | 2 |
| #23752725 | 2 |
| #23752450 | 2 |
| #23752449 | 2 |
| #23752448 | 2 |
| #23752444 | 2 |
| #23752443 | 2 |
| #23752249 | 2 |
| #23752207 | 2 |
| #467×C151 | 2 |
| #3050 | 151 |