Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
564 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 2. C2×#18012728 | C2 | semidirect |
| 3. C2×D4×Dic151 | C2 | semidirect |
| 4. #23752429 | C2 | direct (N × H) |
| 5. C2×Dic151⋊C8 | C2 | semidirect |
| 6. C2×#18012663 | C2 | semidirect |
| 7. C2×#18012661 | C2 | semidirect |
| 8. C22×SD16×C151 | C2 | semidirect |
| 15. #18012728 | C22 | semidirect |
| 17. D4×Dic151 | C22 | semidirect |
| 23. Dic151⋊C8 | C22 | semidirect |
| 24. #18012663 | C22 | semidirect |
| 25. #18012661 | C22 | semidirect |
| 29. C2×SD16×C151 | C22 | semidirect |
| 118. C2×C151 | #463 | semidirect |
| 123. C151 | C2×#463 | semidirect |
| 125. C22×SD16 | D151 | semidirect |
| 138. C2×SD16 | C2×D151 | semidirect |
| 243. C2 | #23752429 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558989 | 2 |
| C2×#18012728 | 2 |
| C2×D4×Dic151 | 2 |
| #23752429 | 2 |
| C2×Dic151⋊C8 | 2 |
| C2×#18012663 | 2 |
| C2×#18012661 | 2 |
| C22×SD16×C151 | 2 |
| C2×#463 | 151 |