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. #23752763 | C2 | semidirect |
| 2. #127×D151 | C2 | semidirect |
| 3. #23752589 | C2 | semidirect |
| 4. #23752588 | C2 | semidirect |
| 5. #23752560 | C2 | semidirect |
| 6. #23752406 | C2 | semidirect |
| 7. #23752347 | C2 | semidirect |
| 8. #23752263 | C2 | semidirect |
| 9. #486×C151 | C2 | semidirect |
| 14. C2×D1208 | C22 | semidirect |
| 15. C2×#14558989 | C22 | semidirect |
| 17. #18012736 | C22 | semidirect |
| 25. #18012701 | C22 | semidirect |
| 27. Dic151⋊C8 | C22 | semidirect |
| 28. #18012659 | C22 | semidirect |
| 30. C4×C151⋊C8 | C22 | semidirect |
| 31. C4⋊Q8×C151 | C22 | semidirect |
| 33. #102×C151 | C22 | semidirect |
| 34. C4×C8×C151 | C22 | semidirect |
| 92. C4×D151 | D8 | semidirect |
| 132. C151 | #3205 | semidirect |
| 139. #486 | D151 | semidirect |
| 149. C4⋊Q8 | C2×D151 | semidirect |
| 164. #102 | 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 |
|---|---|
| #23752763 | 2 |
| #127×D151 | 2 |
| #23752589 | 2 |
| #23752588 | 2 |
| #23752560 | 2 |
| #23752406 | 2 |
| #23752347 | 2 |
| #23752263 | 2 |
| #486×C151 | 2 |
| #3205 | 151 |