Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
394 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 144 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. #23750657 | C2 | semidirect |
| 2. #23750656 | C2 | semidirect |
| 3. #23750655 | C2 | semidirect |
| 4. #23750654 | C2 | semidirect |
| 5. #23750646 | C2 | semidirect |
| 6. #23750645 | C2 | semidirect |
| 7. #23750599 | C2 | semidirect |
| 8. #23750598 | C2 | semidirect |
| 123. C149 | #2980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750657 | 2 |
| #23750656 | 2 |
| #23750655 | 2 |
| #23750654 | 2 |
| #23750646 | 2 |
| #23750645 | 2 |
| #23750599 | 2 |
| #23750598 | 2 |
| #23750170 | 2 |
| #2980 | 149 |