Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #23750182 | C2 | semidirect |
| 2. #23749997 | C2 | semidirect |
| 3. #23749971 | C2 | semidirect |
| 4. #23749822 | C2 | semidirect |
| 5. #23749776 | C2 | semidirect |
| 6. #23749678 | C2 | semidirect |
| 8. C2×#14558724 | C22 | semidirect |
| 9. #18011911 | C22 | semidirect |
| 10. #18011911 | C22 | semidirect |
| 15. C4×Dic298 | C22 | semidirect |
| 17. C4⋊#11924746 | C22 | semidirect |
| 18. #18011832 | C22 | semidirect |
| 20. C4×#11924746 | C22 | semidirect |
| 76. C2×C4×C149 | SD16 | semidirect |
| 104. C149 | #3208 | semidirect |
| 180. C2×C4 | #14558724 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750182 | 2 |
| #23749997 | 2 |
| #23749971 | 2 |
| #23749822 | 2 |
| #23749776 | 2 |
| #23749678 | 2 |
| C2×#127×C149 | 2 |
| #3208 | 149 |