Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 2. #23752692 | C2 | semidirect |
| 3. #23752556 | C2 | semidirect |
| 4. #23752549 | C2 | semidirect |
| 5. #23752538 | C2 | semidirect |
| 6. #23752527 | C2 | semidirect |
| 7. C2×#18012672 | C2 | semidirect |
| 8. #23752214 | C2 | semidirect |
| 9. #23752206 | C2 | semidirect |
| 10. #23752180 | C2 | semidirect |
| 11. #428×C151 | C2 | semidirect |
| 133. C151 | #3098 | semidirect |
| 141. #428 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752793 | 2 |
| #23752692 | 2 |
| #23752556 | 2 |
| #23752549 | 2 |
| #23752538 | 2 |
| #23752527 | 2 |
| C2×#18012672 | 2 |
| #23752214 | 2 |
| #23752206 | 2 |
| #23752180 | 2 |
| #428×C151 | 2 |
| #3098 | 151 |