Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 125 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×#18012739 | C2 | semidirect |
| 3. #23752621 | C2 | semidirect |
| 4. #23752572 | C2 | semidirect |
| 5. #23752543 | C2 | semidirect |
| 7. #23752508 | C2 | semidirect |
| 8. #23752503 | C2 | semidirect |
| 9. #432×C151 | C2 | semidirect |
| 112. C151 | #3238 | semidirect |
| 122. #432 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012739 | 2 |
| #23752746 | 2 |
| #23752621 | 2 |
| #23752572 | 2 |
| #23752543 | 2 |
| #23752526 | 2 |
| #23752508 | 2 |
| #23752503 | 2 |
| #432×C151 | 2 |
| #3238 | 151 |