Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
266 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 53 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. C2×D8×D149 | C2 | semidirect |
| 2. C2×D2384 | C2 | semidirect |
| 3. C2×#18011852 | C2 | semidirect |
| 4. #23749862 | C2 | semidirect |
| 5. #23749425 | C2 | semidirect |
| 6. #23749404 | C2 | semidirect |
| 7. #357×C149 | C2 | semidirect |
| 10. C2×D1192 | C22 | semidirect |
| 18. C2×#14558711 | C22 | semidirect |
| 21. C2×C16×C149 | C22 | semidirect |
| 22. #107×C149 | C22 | semidirect |
| 34. D1192 | D4 | semidirect |
| 43. D8×C149 | D4 | semidirect |
| 83. C2×D149 | D16 | semidirect |
| 95. C149 | #2184 | semidirect |
| 102. #357 | D149 | semidirect |
| 116. C2×C16 | C2×D149 | semidirect |
| 117. #107 | C2×D149 | semidirect |
| 134. D8 | D596 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D149 | 2 |
| C2×D2384 | 2 |
| C2×#18011852 | 2 |
| #23749862 | 2 |
| #23749425 | 2 |
| #23749404 | 2 |
| #357×C149 | 2 |
| #2184 | 149 |