Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
490 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 133 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×#18012769 | C2 | semidirect |
| 2. C22×#14558993 | C2 | semidirect |
| 4. #23752689 | C2 | semidirect |
| 5. #23752437 | C2 | semidirect |
| 6. #23752411 | C2 | semidirect |
| 7. #23752238 | C2 | semidirect |
| 8. #23752216 | C2 | semidirect |
| 9. #416×C151 | C2 | semidirect |
| 13. C2×#14558994 | C22 | semidirect |
| 16. C2×#14558992 | C22 | semidirect |
| 23. #18012704 | C22 | semidirect |
| 26. Dic151⋊C8 | C22 | semidirect |
| 31. #103×C151 | C22 | semidirect |
| 32. #102×C151 | C22 | semidirect |
| 36. C2×Dic302 | D4 | semidirect |
| 116. C151 | #3043 | semidirect |
| 126. #416 | D151 | semidirect |
| 147. #103 | C2×D151 | semidirect |
| 149. #102 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012769 | 2 |
| C22×#14558993 | 2 |
| #23752776 | 2 |
| #23752689 | 2 |
| #23752437 | 2 |
| #23752411 | 2 |
| #23752238 | 2 |
| #23752216 | 2 |
| #416×C151 | 2 |
| #3043 | 151 |