Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
648 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 152 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. #23750573 | C2 | semidirect |
| 2. #23750570 | C2 | semidirect |
| 8. #18011908 | C4 | semidirect |
| 9. #18011907 | C4 | semidirect |
| 11. #127×C149 | C4 | semidirect |
| 16. C2×D596 | C2×C4 | semidirect |
| 17. C2×C22⋊D149 | C2×C4 | semidirect |
| 21. C4×Dic149 | C2×C4 | semidirect |
| 22. C2×D4×C149 | C2×C4 | semidirect |
| 23. C42×C149 | C2×C4 | semidirect |
| 50. C149 | #2380 | semidirect |
| 59. #127 | #10597010 | semidirect |
| 68. C2×D4 | C2×#10597010 | semidirect |
| 74. C42 | C2×#10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750573 | 2 |
| #23750570 | 2 |
| #127×D149 | 2 |
| #2380 | 149 |