Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 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. #23752689 | C2 | semidirect |
| 4. #23752309 | C2 | semidirect |
| 5. #23752303 | C2 | semidirect |
| 6. #23752248 | C2 | semidirect |
| 7. #23752222 | C2 | semidirect |
| 8. #23752170 | C2 | semidirect |
| 11. C2×#14558992 | C4 | semidirect |
| 16. #18012704 | C22 | semidirect |
| 23. #18012672 | C22 | semidirect |
| 24. #18012670 | C22 | semidirect |
| 25. #18012664 | C22 | semidirect |
| 26. #18012649 | C22 | semidirect |
| 27. C8×Dic151 | C22 | semidirect |
| 34. C2×Dic302 | C2×C4 | semidirect |
| 38. #14558992 | C2×C4 | semidirect |
| 39. #14558992 | C2×C4 | semidirect |
| 40. C2×C151⋊C8 | C2×C4 | semidirect |
| 103. C151 | #2949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558992 | 2 |
| #23752689 | 2 |
| #23752687 | 2 |
| #23752309 | 2 |
| #23752303 | 2 |
| #23752248 | 2 |
| #23752222 | 2 |
| #23752170 | 2 |
| #418×C151 | 2 |
| #2949 | 151 |