Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#18011931 | C2 | semidirect |
| 2. #23750280 | C2 | semidirect |
| 3. #23750004 | C2 | semidirect |
| 4. #23749864 | C2 | semidirect |
| 5. #23749830 | C2 | semidirect |
| 6. #23749827 | C2 | semidirect |
| 7. #23749787 | C2 | semidirect |
| 8. #23749785 | C2 | semidirect |
| 9. C4×#14558721 | C2 | semidirect |
| 10. D4×#11924746 | C2 | semidirect |
| 11. #547×C149 | C2 | semidirect |
| 53. #14558721 | D4 | semidirect |
| 127. C4×C149 | #135 | semidirect |
| 138. C149 | #3283 | semidirect |
| 142. #547 | D149 | semidirect |
| 268. C4 | #18011931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011931 | 2 |
| #23750280 | 2 |
| #23750004 | 2 |
| #23749864 | 2 |
| #23749830 | 2 |
| #23749827 | 2 |
| #23749787 | 2 |
| #23749785 | 2 |
| C4×#14558721 | 2 |
| D4×#11924746 | 2 |
| #547×C149 | 2 |
| #3283 | 149 |