Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
396 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 110 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. C4×D149⋊C8 | C2 | semidirect |
| 3. C4×C4⋊#10597010 | C2 | semidirect |
| 4. #23750498 | C2 | semidirect |
| 9. #18011973 | C4 | direct (N × H) |
| 15. C4×D596 | C4 | semidirect |
| 16. D4×Dic149 | C4 | semidirect |
| 17. #18011873 | C4 | semidirect |
| 23. C4×D4×C149 | C4 | semidirect |
| 26. D149⋊C8 | C2×C4 | semidirect |
| 29. C4⋊#10597010 | C2×C4 | semidirect |
| 69. D596 | C42 | semidirect |
| 87. D4×C149 | C42 | semidirect |
| 109. C4×C149 | #102 | semidirect |
| 114. Dic149 | #102 | semidirect |
| 123. C149 | C4×#102 | semidirect |
| 138. C4×D4 | #10597010 | semidirect |
| 193. D4 | C4×#10597010 | semidirect |
| 237. C4 | #18011973 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011973 | 2 |
| C4×D149⋊C8 | 2 |
| C4×C4⋊#10597010 | 2 |
| #23750498 | 2 |
| C4×D4×D149 | 2 |
| C4×#102 | 149 |