Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 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. C4×#14559004 | C2 | semidirect |
| 4. #23752431 | C2 | semidirect |
| 5. #23752424 | C2 | semidirect |
| 6. #23752236 | C2 | semidirect |
| 7. #23752221 | C2 | semidirect |
| 8. #23752217 | C2 | semidirect |
| 9. C2×#124×C151 | C2 | semidirect |
| 13. C2×#14558994 | C22 | semidirect |
| 15. C2×#14558991 | C22 | semidirect |
| 19. C4×Dic302 | C22 | semidirect |
| 20. C4×D604 | C22 | semidirect |
| 25. C4⋊(C151⋊C8) | C22 | semidirect |
| 26. #18012663 | C22 | semidirect |
| 125. C151 | #3040 | semidirect |
| 129. C2×#124 | 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×#18012765 | 2 |
| C4×#14559004 | 2 |
| #23752431 | 2 |
| #23752424 | 2 |
| #23752236 | 2 |
| #23752221 | 2 |
| #23752217 | 2 |
| C2×#124×C151 | 2 |
| #3040 | 151 |