Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 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 |
|---|---|---|
| 1. C2×#18012787 | C2 | semidirect |
| 2. #23753012 | C2 | semidirect |
| 3. #23752786 | C2 | semidirect |
| 4. #23752397 | C2 | semidirect |
| 5. #23752387 | C2 | semidirect |
| 6. #23752228 | C2 | semidirect |
| 7. C2×#101×C151 | C2 | semidirect |
| 17. #18012772 | C22 | semidirect |
| 19. #18012767 | C22 | semidirect |
| 21. #18012737 | C22 | semidirect |
| 22. #18012728 | C22 | semidirect |
| 26. #18012665 | C22 | semidirect |
| 29. #101×C151 | C22 | semidirect |
| 123. C151 | #3020 | semidirect |
| 131. C2×#101 | D151 | semidirect |
| 153. #101 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012787 | 2 |
| #23753012 | 2 |
| #23752786 | 2 |
| #23752397 | 2 |
| #23752387 | 2 |
| #23752228 | 2 |
| C2×#101×C151 | 2 |
| #3020 | 151 |