Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #23752769 | C2 | semidirect |
| 3. #23752606 | C2 | semidirect |
| 4. #23752572 | C2 | semidirect |
| 5. #23752435 | C2 | semidirect |
| 6. #23752370 | C2 | semidirect |
| 8. #432×C151 | C2 | semidirect |
| 11. C2×Dic604 | C22 | semidirect |
| 13. #18012739 | C22 | semidirect |
| 14. #18012739 | C22 | semidirect |
| 23. C4×Dic302 | C22 | semidirect |
| 27. #18012664 | C22 | semidirect |
| 30. C4⋊C8×C151 | C22 | semidirect |
| 32. #97×C151 | C22 | semidirect |
| 112. C151 | #3215 | semidirect |
| 121. #432 | D151 | semidirect |
| 141. C4⋊C8 | C2×D151 | semidirect |
| 145. #97 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| C2×#18012727 | 2 |
| #23752606 | 2 |
| #23752572 | 2 |
| #23752435 | 2 |
| #23752370 | 2 |
| #23752365 | 2 |
| #432×C151 | 2 |
| #3215 | 151 |