Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#18012764 | C2 | semidirect |
| 2. C2×#18012745 | C2 | semidirect |
| 3. #23752790 | C2 | semidirect |
| 4. #23752781 | C2 | semidirect |
| 5. #23752464 | C2 | semidirect |
| 6. #23752461 | C2 | semidirect |
| 7. #23752447 | C2 | semidirect |
| 8. #23752444 | C2 | semidirect |
| 9. #23752255 | C2 | semidirect |
| 10. C2×#18012661 | C2 | semidirect |
| 11. #416×C151 | C2 | semidirect |
| 19. C2×#14558987 | C22 | semidirect |
| 20. C2×C8×D151 | C22 | semidirect |
| 24. #18012715 | C22 | semidirect |
| 29. #18012710 | C22 | semidirect |
| 32. #18012672 | C22 | semidirect |
| 33. #18012670 | C22 | semidirect |
| 39. #103×C151 | C22 | semidirect |
| 40. #103×C151 | C22 | semidirect |
| 41. #102×C151 | C22 | semidirect |
| 42. #102×C151 | C22 | semidirect |
| 60. #14558988 | D4 | semidirect |
| 151. C151 | #3062 | semidirect |
| 162. #416 | D151 | semidirect |
| 189. #103 | C2×D151 | semidirect |
| 190. #103 | C2×D151 | semidirect |
| 193. #102 | C2×D151 | semidirect |
| 194. #102 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012764 | 2 |
| C2×#18012745 | 2 |
| #23752790 | 2 |
| #23752781 | 2 |
| #23752464 | 2 |
| #23752461 | 2 |
| #23752447 | 2 |
| #23752444 | 2 |
| #23752255 | 2 |
| C2×#18012661 | 2 |
| #416×C151 | 2 |
| #3062 | 151 |