Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
652 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 209 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 |
|---|---|---|
| 2. C2×#18011876 | C2 | semidirect |
| 4. #23749530 | C2 | semidirect |
| 6. #23749514 | C2 | semidirect |
| 7. #23749472 | C2 | semidirect |
| 8. C42×Dic149 | C2 | semidirect |
| 9. #382×C149 | C2 | semidirect |
| 13. #18011899 | C4 | semidirect |
| 33. C2×Dic298 | C2×C4 | semidirect |
| 46. #14558713 | C2×C4 | semidirect |
| 58. C42×C149 | C2×C4 | semidirect |
| 105. Dic149 | #124 | semidirect |
| 112. C149 | C4×#124 | semidirect |
| 120. #382 | D149 | semidirect |
| 171. C42 | C4×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011899 | 2 |
| C2×#18011876 | 2 |
| C2×#18011873 | 2 |
| #23749530 | 2 |
| #23749526 | 2 |
| #23749514 | 2 |
| #23749472 | 2 |
| C42×Dic149 | 2 |
| #382×C149 | 2 |
| C4×#124 | 149 |