Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#18012767 | C2 | semidirect |
| 2. C2×#18012761 | C2 | semidirect |
| 3. #23752781 | C2 | semidirect |
| 4. #23752692 | C2 | semidirect |
| 5. #23752435 | C2 | semidirect |
| 6. #23752428 | C2 | semidirect |
| 7. #23752413 | C2 | semidirect |
| 8. #23752408 | C2 | semidirect |
| 9. #23752214 | C2 | semidirect |
| 10. C2×#18012661 | C2 | semidirect |
| 11. #424×C151 | C2 | semidirect |
| 17. C2×Dic604 | C22 | semidirect |
| 19. C2×#14558993 | C22 | semidirect |
| 20. C2×#14558993 | C22 | semidirect |
| 22. C2×D1208 | C22 | semidirect |
| 28. C4×Dic302 | C22 | semidirect |
| 29. C4×D604 | C22 | semidirect |
| 34. #18012664 | C22 | semidirect |
| 37. #18012661 | C22 | semidirect |
| 41. C4⋊C8×C151 | C22 | semidirect |
| 42. C4⋊C8×C151 | C22 | semidirect |
| 47. #14559004 | D4 | semidirect |
| 154. C151 | #3045 | semidirect |
| 164. #424 | D151 | semidirect |
| 192. C4⋊C8 | C2×D151 | semidirect |
| 193. C4⋊C8 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012767 | 2 |
| C2×#18012761 | 2 |
| #23752781 | 2 |
| #23752692 | 2 |
| #23752435 | 2 |
| #23752428 | 2 |
| #23752413 | 2 |
| #23752408 | 2 |
| #23752214 | 2 |
| C2×#18012661 | 2 |
| #424×C151 | 2 |
| #3045 | 151 |