Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
284 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 68 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×#18011965 | C2 | semidirect |
| 4. #23750576 | C2 | semidirect |
| 5. #23750499 | C2 | semidirect |
| 6. #23750498 | C2 | semidirect |
| 21. #18011833 | C4 | semidirect |
| 22. #18011832 | C4 | semidirect |
| 23. #18011831 | C4 | semidirect |
| 24. #102×C149 | C4 | semidirect |
| 134. C149 | #1936 | semidirect |
| 157. #102 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011973 | 2 |
| C2×#18011965 | 2 |
| #23750577 | 2 |
| #23750576 | 2 |
| #23750499 | 2 |
| #23750498 | 2 |
| #102×D149 | 2 |
| #1936 | 149 |