Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
402 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 156 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. #23750649 | C2 | semidirect |
| 2. #23750648 | C2 | semidirect |
| 3. #23750644 | C2 | semidirect |
| 4. #23750632 | C2 | semidirect |
| 7. #23750590 | C2 | semidirect |
| 11. #18011978 | C22 | semidirect |
| 12. C4⋊#11924753 | C22 | semidirect |
| 18. #18011966 | C22 | semidirect |
| 19. C4×#11924753 | C22 | semidirect |
| 110. C149 | #2924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750649 | 2 |
| #23750648 | 2 |
| #23750644 | 2 |
| #23750632 | 2 |
| #23750596 | 2 |
| D149⋊(C22⋊C8) | 2 |
| #23750590 | 2 |
| #117×D149 | 2 |
| #2924 | 149 |