Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#14558992 | C2 | semidirect |
| 2. #23752783 | C2 | semidirect |
| 3. #23752687 | C2 | semidirect |
| 4. #23752425 | C2 | semidirect |
| 5. #23752415 | C2 | semidirect |
| 6. #23752240 | C2 | semidirect |
| 7. #23752222 | C2 | semidirect |
| 8. #23752208 | C2 | semidirect |
| 14. #18012737 | C22 | semidirect |
| 15. #18012726 | C22 | semidirect |
| 23. Dic151⋊C8 | C22 | semidirect |
| 24. #18012664 | C22 | semidirect |
| 25. #18012663 | C22 | semidirect |
| 26. #18012660 | C22 | semidirect |
| 116. C151 | #3042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558992 | 2 |
| #23752783 | 2 |
| #23752687 | 2 |
| #23752425 | 2 |
| #23752415 | 2 |
| #23752240 | 2 |
| #23752222 | 2 |
| #23752208 | 2 |
| C2×AGL(1,ℤ/8)×C151 | 2 |
| #3042 | 151 |