Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
402 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 146 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. #23750658 | C2 | semidirect |
| 2. #23750657 | C2 | semidirect |
| 3. #23750654 | C2 | semidirect |
| 4. #23750652 | C2 | semidirect |
| 5. #23750648 | C2 | semidirect |
| 6. #23750644 | C2 | semidirect |
| 7. #23750600 | C2 | semidirect |
| 8. #23750598 | C2 | semidirect |
| 124. C149 | #2981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750658 | 2 |
| #23750657 | 2 |
| #23750654 | 2 |
| #23750652 | 2 |
| #23750648 | 2 |
| #23750644 | 2 |
| #23750600 | 2 |
| #23750598 | 2 |
| #23750174 | 2 |
| #2981 | 149 |