Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #23750205 | C2 | semidirect |
| 2. #23749959 | C2 | semidirect |
| 3. #23749940 | C2 | semidirect |
| 4. #23749873 | C2 | semidirect |
| 5. #23749861 | C2 | semidirect |
| 6. #23749786 | C2 | semidirect |
| 7. #23749773 | C2 | semidirect |
| 8. #23749591 | C2 | semidirect |
| 9. #467×C149 | C2 | semidirect |
| 119. C149 | #3203 | semidirect |
| 125. #467 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750205 | 2 |
| #23749959 | 2 |
| #23749940 | 2 |
| #23749873 | 2 |
| #23749861 | 2 |
| #23749786 | 2 |
| #23749773 | 2 |
| #23749591 | 2 |
| #467×C149 | 2 |
| #3203 | 149 |