Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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×#18012770 | C2 | semidirect |
| 3. C2×#18012728 | C2 | semidirect |
| 4. #23752680 | C2 | semidirect |
| 5. #23752437 | C2 | semidirect |
| 6. #23752430 | C2 | semidirect |
| 7. #23752235 | C2 | semidirect |
| 8. #23752216 | C2 | semidirect |
| 9. #419×C151 | C2 | semidirect |
| 14. C2×#14558994 | C22 | semidirect |
| 16. C2×#14558991 | C22 | semidirect |
| 22. #18012704 | C22 | semidirect |
| 23. #18012701 | C22 | semidirect |
| 29. Dic151⋊C8 | C22 | semidirect |
| 34. #103×C151 | C22 | semidirect |
| 125. C151 | #3040 | semidirect |
| 134. #419 | D151 | semidirect |
| 159. #103 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012770 | 2 |
| C2×#18012767 | 2 |
| C2×#18012728 | 2 |
| #23752680 | 2 |
| #23752437 | 2 |
| #23752430 | 2 |
| #23752235 | 2 |
| #23752216 | 2 |
| #419×C151 | 2 |
| #3040 | 151 |