Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
704 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 2. C2×#18012772 | C2 | semidirect |
| 3. #23752783 | C2 | semidirect |
| 4. #23752397 | C2 | semidirect |
| 5. #23752392 | C2 | semidirect |
| 6. #23752228 | C2 | semidirect |
| 7. #413×C151 | C2 | semidirect |
| 16. C22×Dic302 | C22 | semidirect |
| 18. #18012772 | C22 | semidirect |
| 21. #18012737 | C22 | semidirect |
| 22. #18012726 | C22 | semidirect |
| 25. #18012698 | C22 | semidirect |
| 26. #18012665 | C22 | semidirect |
| 28. C2×M16×C151 | C22 | semidirect |
| 29. #101×C151 | C22 | semidirect |
| 30. #100×C151 | C22 | semidirect |
| 129. C151 | #3022 | semidirect |
| 137. #413 | D151 | semidirect |
| 152. C2×M16 | C2×D151 | semidirect |
| 159. #101 | C2×D151 | semidirect |
| 160. #100 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23753048 | 2 |
| C2×#18012772 | 2 |
| #23752783 | 2 |
| #23752397 | 2 |
| #23752392 | 2 |
| #23752228 | 2 |
| #413×C151 | 2 |
| #3022 | 151 |