Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
494 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 123 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. #23752865 | C2 | semidirect |
| 2. #23752847 | C2 | semidirect |
| 3. #23752524 | C2 | semidirect |
| 4. #23752489 | C2 | semidirect |
| 5. #23752447 | C2 | semidirect |
| 6. #23752404 | C2 | semidirect |
| 7. #23752347 | C2 | semidirect |
| 8. C4×D1208 | C2 | semidirect |
| 9. C8×D604 | C2 | semidirect |
| 10. #102×D151 | C2 | semidirect |
| 11. #486×C151 | C2 | semidirect |
| 16. C2×#14558989 | C22 | semidirect |
| 17. C2×C8×D151 | C22 | semidirect |
| 20. #18012714 | C22 | semidirect |
| 26. C4×D604 | C22 | semidirect |
| 27. C4⋊C4×D151 | C22 | semidirect |
| 28. #18012673 | C22 | semidirect |
| 29. #18012672 | C22 | semidirect |
| 30. C4⋊(C151⋊C8) | C22 | semidirect |
| 32. #18012661 | C22 | semidirect |
| 33. #18012660 | C22 | semidirect |
| 35. (C2×D151)⋊C8 | C22 | semidirect |
| 36. C4⋊Q8×C151 | C22 | semidirect |
| 38. #102×C151 | C22 | semidirect |
| 39. #102×C151 | C22 | semidirect |
| 40. C4×C8×C151 | C22 | semidirect |
| 88. D604 | D8 | semidirect |
| 89. D604 | #41 | semidirect |
| 142. C151 | #3294 | semidirect |
| 146. #486 | D151 | semidirect |
| 161. C4⋊Q8 | C2×D151 | semidirect |
| 180. #102 | C2×D151 | semidirect |
| 181. #102 | C2×D151 | semidirect |
| 183. C4×C8 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752865 | 2 |
| #23752847 | 2 |
| #23752524 | 2 |
| #23752489 | 2 |
| #23752447 | 2 |
| #23752404 | 2 |
| #23752347 | 2 |
| C4×D1208 | 2 |
| C8×D604 | 2 |
| #102×D151 | 2 |
| #486×C151 | 2 |
| #3294 | 151 |