Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
532 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 532 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. #23752760 | C2 | semidirect |
| 2. #127×D151 | C2 | semidirect |
| 3. #23752588 | C2 | semidirect |
| 4. #23752559 | C2 | semidirect |
| 5. #23752558 | C2 | semidirect |
| 6. #23752405 | C2 | semidirect |
| 7. #23752344 | C2 | semidirect |
| 8. #23752263 | C2 | semidirect |
| 9. #493×C151 | C2 | semidirect |
| 14. C2×#14558989 | C22 | semidirect |
| 15. #18012739 | C22 | semidirect |
| 24. D4×Dic151 | C22 | semidirect |
| 26. Dic151⋊C8 | C22 | semidirect |
| 27. #18012661 | C22 | semidirect |
| 28. #18012660 | C22 | semidirect |
| 30. C4×C151⋊C8 | C22 | semidirect |
| 31. C2×D8×C151 | C22 | semidirect |
| 33. #127×C151 | C22 | semidirect |
| 34. C4×C8×C151 | C22 | semidirect |
| 90. C4×D151 | D8 | semidirect |
| 132. C151 | #3205 | semidirect |
| 137. #493 | D151 | semidirect |
| 148. C2×D8 | C2×D151 | semidirect |
| 155. #127 | C2×D151 | semidirect |
| 167. C4×C8 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752760 | 2 |
| #127×D151 | 2 |
| #23752588 | 2 |
| #23752559 | 2 |
| #23752558 | 2 |
| #23752405 | 2 |
| #23752344 | 2 |
| #23752263 | 2 |
| #493×C151 | 2 |
| #3205 | 151 |