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. C2×#18012745 | C2 | semidirect |
| 2. #23752786 | C2 | semidirect |
| 4. #23752455 | C2 | semidirect |
| 5. #23752438 | C2 | semidirect |
| 6. #23752250 | C2 | semidirect |
| 7. #23752221 | C2 | semidirect |
| 8. #23752217 | C2 | semidirect |
| 9. C22×SD16×C151 | C2 | semidirect |
| 13. C2×#14558987 | C22 | semidirect |
| 14. C2×C8×D151 | C22 | semidirect |
| 20. #18012715 | C22 | semidirect |
| 25. #18012673 | C22 | semidirect |
| 26. #18012671 | C22 | semidirect |
| 27. #18012663 | C22 | semidirect |
| 68. C2×C8×C151 | D4 | semidirect |
| 120. C151 | #3057 | semidirect |
| 122. C22×SD16 | D151 | semidirect |
| 180. C2×C8 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012745 | 2 |
| #23752786 | 2 |
| #23752779 | 2 |
| #23752455 | 2 |
| #23752438 | 2 |
| #23752250 | 2 |
| #23752221 | 2 |
| #23752217 | 2 |
| C22×SD16×C151 | 2 |
| #3057 | 151 |