Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. #23752723 | C2 | semidirect |
| 2. #23752554 | C2 | semidirect |
| 3. #23752537 | C2 | semidirect |
| 4. #23752453 | C2 | semidirect |
| 5. #23752448 | C2 | semidirect |
| 6. #23752441 | C2 | semidirect |
| 7. #23752376 | C2 | semidirect |
| 8. #23752359 | C2 | semidirect |
| 9. C2×C22⋊C8×C151 | C2 | semidirect |
| 11. C2×Dic604 | C22 | semidirect |
| 12. C2×#14558993 | C22 | semidirect |
| 13. C2×D1208 | C22 | semidirect |
| 23. #18012673 | C22 | semidirect |
| 24. #18012673 | C22 | semidirect |
| 25. #18012671 | C22 | semidirect |
| 26. #18012664 | C22 | semidirect |
| 27. #18012664 | C22 | semidirect |
| 28. #18012661 | C22 | semidirect |
| 29. #18012661 | C22 | semidirect |
| 121. C151 | #3191 | semidirect |
| 131. C2×C22⋊C8 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752723 | 2 |
| #23752554 | 2 |
| #23752537 | 2 |
| #23752453 | 2 |
| #23752448 | 2 |
| #23752441 | 2 |
| #23752376 | 2 |
| #23752359 | 2 |
| C2×C22⋊C8×C151 | 2 |
| #3191 | 151 |