Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
488 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 125 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. #23752767 | C2 | semidirect |
| 3. #23752586 | C2 | semidirect |
| 4. #23752559 | C2 | semidirect |
| 5. #23752558 | C2 | semidirect |
| 6. #23752410 | C2 | semidirect |
| 7. #23752361 | C2 | semidirect |
| 8. #23752263 | C2 | semidirect |
| 9. #492×C151 | C2 | semidirect |
| 13. C2×#14558991 | C22 | semidirect |
| 14. #18012739 | C22 | semidirect |
| 22. Q8×Dic151 | C22 | semidirect |
| 26. Dic151⋊C8 | C22 | semidirect |
| 27. #18012661 | C22 | semidirect |
| 28. #18012660 | C22 | semidirect |
| 30. C4×C151⋊C8 | C22 | semidirect |
| 31. C2×SD16×C151 | C22 | semidirect |
| 32. C4⋊Q8×C151 | C22 | semidirect |
| 34. C4×C8×C151 | C22 | semidirect |
| 87. C4×D151 | SD16 | semidirect |
| 124. C151 | #3208 | semidirect |
| 129. #492 | D151 | semidirect |
| 139. C2×SD16 | C2×D151 | semidirect |
| 141. C4⋊Q8 | C2×D151 | semidirect |
| 159. C4×C8 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| #127×D151 | 2 |
| #23752586 | 2 |
| #23752559 | 2 |
| #23752558 | 2 |
| #23752410 | 2 |
| #23752361 | 2 |
| #23752263 | 2 |
| #492×C151 | 2 |
| #3208 | 151 |