Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 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 |
|---|---|---|
| 3. #23752554 | C2 | semidirect |
| 4. #23752548 | C2 | semidirect |
| 5. #23752543 | C2 | semidirect |
| 6. #23752254 | C2 | semidirect |
| 7. #23752222 | C2 | semidirect |
| 25. #18012673 | C22 | semidirect |
| 26. #18012671 | C22 | semidirect |
| 27. #18012664 | C22 | semidirect |
| 28. #18012664 | C22 | semidirect |
| 116. C151 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012718 | 2 |
| C2×#18012698 | 2 |
| #23752554 | 2 |
| #23752548 | 2 |
| #23752543 | 2 |
| #23752254 | 2 |
| #23752222 | 2 |
| #407×C151 | 2 |
| #3095 | 151 |