Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 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×#18012745 | C2 | semidirect |
| 2. #23752779 | C2 | semidirect |
| 3. #23752462 | C2 | semidirect |
| 4. #23752445 | C2 | semidirect |
| 5. #23752250 | C2 | semidirect |
| 6. #23752217 | C2 | semidirect |
| 7. C22×D8×C151 | C2 | semidirect |
| 11. C2×#14558987 | C22 | semidirect |
| 12. C2×C8×D151 | C22 | semidirect |
| 15. #18012710 | C22 | semidirect |
| 18. #18012673 | C22 | semidirect |
| 19. #18012671 | C22 | semidirect |
| 20. #18012660 | C22 | semidirect |
| 49. C2×C8×C151 | D4 | semidirect |
| 93. C151 | #3058 | semidirect |
| 95. C22×D8 | D151 | semidirect |
| 139. C2×C8 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012745 | 2 |
| #23752779 | 2 |
| #23752462 | 2 |
| #23752445 | 2 |
| #23752250 | 2 |
| #23752217 | 2 |
| C22×D8×C151 | 2 |
| #3058 | 151 |