Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 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 |
|---|---|---|
| 2. C22×C4⋊Dic151 | C2 | semidirect |
| 3. #23752548 | C2 | semidirect |
| 4. #23752543 | C2 | semidirect |
| 5. #23752531 | C2 | semidirect |
| 6. #23752526 | C2 | semidirect |
| 7. #23752254 | C2 | semidirect |
| 8. #23752214 | C2 | semidirect |
| 9. #407×C151 | C2 | semidirect |
| 27. #18012673 | C22 | semidirect |
| 28. #18012671 | C22 | semidirect |
| 29. #18012664 | C22 | semidirect |
| 30. #18012661 | C22 | semidirect |
| 130. C151 | #3092 | semidirect |
| 140. #407 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752723 | 2 |
| C22×C4⋊Dic151 | 2 |
| #23752548 | 2 |
| #23752543 | 2 |
| #23752531 | 2 |
| #23752526 | 2 |
| #23752254 | 2 |
| #23752214 | 2 |
| #407×C151 | 2 |
| #3092 | 151 |