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×#18012765 | C2 | semidirect |
| 2. C2×#18012745 | C2 | semidirect |
| 3. #23752793 | C2 | semidirect |
| 4. #23752779 | C2 | semidirect |
| 5. #23752464 | C2 | semidirect |
| 6. #23752457 | C2 | semidirect |
| 7. #23752447 | C2 | semidirect |
| 8. #23752440 | C2 | semidirect |
| 9. #23752252 | C2 | semidirect |
| 10. #23752209 | C2 | semidirect |
| 11. C2×#102×C151 | C2 | semidirect |
| 19. C2×#14558987 | C22 | semidirect |
| 20. C2×C8×D151 | C22 | semidirect |
| 24. #18012719 | C22 | semidirect |
| 26. #18012714 | C22 | semidirect |
| 32. #18012672 | C22 | semidirect |
| 33. #18012670 | C22 | semidirect |
| 34. #18012664 | C22 | semidirect |
| 35. #18012664 | C22 | semidirect |
| 36. #18012661 | C22 | semidirect |
| 37. #18012661 | C22 | semidirect |
| 60. #14558988 | D4 | semidirect |
| 151. C151 | #3062 | semidirect |
| 163. C2×#102 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012765 | 2 |
| C2×#18012745 | 2 |
| #23752793 | 2 |
| #23752779 | 2 |
| #23752464 | 2 |
| #23752457 | 2 |
| #23752447 | 2 |
| #23752440 | 2 |
| #23752252 | 2 |
| #23752209 | 2 |
| C2×#102×C151 | 2 |
| #3062 | 151 |