Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
482 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 123 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×#18011930 | C2 | semidirect |
| 2. C2×Q16×D149 | C2 | semidirect |
| 3. #23750283 | C2 | semidirect |
| 4. #23749863 | C2 | semidirect |
| 5. #23749858 | C2 | semidirect |
| 6. #23749844 | C2 | semidirect |
| 7. #23749784 | C2 | semidirect |
| 8. #23749762 | C2 | semidirect |
| 9. C4×Dic596 | C2 | semidirect |
| 10. C8×D596 | C2 | semidirect |
| 11. #495×C149 | C2 | semidirect |
| 54. Dic596 | D4 | semidirect |
| 120. C2×D149 | #135 | semidirect |
| 136. C149 | #3285 | semidirect |
| 141. #495 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011930 | 2 |
| C2×Q16×D149 | 2 |
| #23750283 | 2 |
| #23749863 | 2 |
| #23749858 | 2 |
| #23749844 | 2 |
| #23749784 | 2 |
| #23749762 | 2 |
| C4×Dic596 | 2 |
| C8×D596 | 2 |
| #495×C149 | 2 |
| #3285 | 149 |