Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #23750240 | C2 | semidirect |
| 2. #23750029 | C2 | semidirect |
| 3. #23750008 | C2 | semidirect |
| 4. #23749983 | C2 | semidirect |
| 5. #23749870 | C2 | semidirect |
| 6. #23749867 | C2 | semidirect |
| 8. #23749725 | C2 | semidirect |
| 9. C4×Dic596 | C2 | semidirect |
| 10. #23749579 | C2 | semidirect |
| 11. C4×D8×C149 | C2 | semidirect |
| 117. C149 | #3175 | semidirect |
| 128. C4×D8 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750240 | 2 |
| #23750029 | 2 |
| #23750008 | 2 |
| #23749983 | 2 |
| #23749870 | 2 |
| #23749867 | 2 |
| #23749858 | 2 |
| #23749725 | 2 |
| C4×Dic596 | 2 |
| #23749579 | 2 |
| C4×D8×C149 | 2 |
| #3175 | 149 |