Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
476 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 117 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. #23753013 | C2 | semidirect |
| 2. #23752479 | C2 | semidirect |
| 3. #23752379 | C2 | semidirect |
| 4. #23752330 | C2 | semidirect |
| 5. #493×C151 | C2 | semidirect |
| 6. #18012784 | C22 | semidirect |
| 7. #18012765 | C22 | semidirect |
| 12. #18012745 | C22 | semidirect |
| 13. #18012675 | C22 | semidirect |
| 14. #18012667 | C22 | semidirect |
| 15. #18012656 | C22 | semidirect |
| 16. C2×D8×C151 | C22 | semidirect |
| 17. #127×C151 | C22 | semidirect |
| 18. C4×C8×C151 | C22 | semidirect |
| 23. Dic604 | D4 | semidirect |
| 24. #14558993 | D4 | semidirect |
| 26. D1208 | D4 | semidirect |
| 64. C151 | #3292 | semidirect |
| 67. #493 | D151 | semidirect |
| 77. C2×D8 | C2×D151 | semidirect |
| 79. #127 | C2×D151 | semidirect |
| 83. C4×C8 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23753013 | 2 |
| #23752479 | 2 |
| #23752379 | 2 |
| #23752330 | 2 |
| #493×C151 | 2 |
| #3292 | 151 |