Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#18012769 | C2 | semidirect |
| 3. #23752979 | C2 | semidirect |
| 4. #23752485 | C2 | semidirect |
| 5. #23752473 | C2 | semidirect |
| 6. #23752260 | C2 | semidirect |
| 7. #23752196 | C2 | semidirect |
| 8. C2×#18012657 | C2 | semidirect |
| 16. C2×#14558994 | C22 | semidirect |
| 18. C2×#14558992 | C22 | semidirect |
| 25. #18012674 | C22 | semidirect |
| 26. #18012658 | C22 | semidirect |
| 27. #18012657 | C22 | semidirect |
| 28. #18012656 | C22 | semidirect |
| 142. C151 | #3069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012769 | 2 |
| #23752979 | 2 |
| #23752485 | 2 |
| #23752473 | 2 |
| #23752260 | 2 |
| #23752196 | 2 |
| C2×#18012657 | 2 |
| #575×C151 | 2 |
| #3069 | 151 |