Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
492 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #23752253 | C2 | semidirect |
| 4. #23752251 | C2 | semidirect |
| 5. #23752250 | C2 | semidirect |
| 6. #23752248 | C2 | semidirect |
| 7. #427×C151 | C2 | semidirect |
| 9. C2×#14558987 | C4 | semidirect |
| 20. #18012673 | C22 | semidirect |
| 21. #18012672 | C22 | semidirect |
| 22. #18012671 | C22 | semidirect |
| 23. #18012670 | C22 | semidirect |
| 26. #107×C151 | C22 | semidirect |
| 27. #106×C151 | C22 | semidirect |
| 35. #14558987 | C2×C4 | semidirect |
| 36. #14558987 | C2×C4 | semidirect |
| 37. C2×C151⋊C8 | C2×C4 | semidirect |
| 46. C2×C8×C151 | C2×C4 | semidirect |
| 87. C151 | #2911 | semidirect |
| 95. #427 | D151 | semidirect |
| 112. #107 | C2×D151 | semidirect |
| 115. #106 | C2×D151 | semidirect |
| 128. C2×C8 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558987 | 2 |
| #117×D151 | 2 |
| #23752253 | 2 |
| #23752251 | 2 |
| #23752250 | 2 |
| #23752248 | 2 |
| #427×C151 | 2 |
| #2911 | 151 |