Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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. C2×#18012746 | C2 | semidirect |
| 3. #23752783 | C2 | semidirect |
| 4. #23752456 | C2 | semidirect |
| 5. #23752439 | C2 | semidirect |
| 6. #23752248 | C2 | semidirect |
| 7. #23752220 | C2 | semidirect |
| 8. #23752217 | C2 | semidirect |
| 16. C2×#14558988 | C22 | semidirect |
| 18. C22×C151⋊C8 | C22 | semidirect |
| 22. #18012718 | C22 | semidirect |
| 24. #18012672 | C22 | semidirect |
| 25. #18012670 | C22 | semidirect |
| 26. #18012662 | C22 | semidirect |
| 45. C2×C151⋊C8 | D4 | semidirect |
| 120. C151 | #3057 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558992 | 2 |
| C2×#18012746 | 2 |
| #23752783 | 2 |
| #23752456 | 2 |
| #23752439 | 2 |
| #23752248 | 2 |
| #23752220 | 2 |
| #23752217 | 2 |
| #535×C151 | 2 |
| #3057 | 151 |