Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #23749583 | C2 | semidirect |
| 5. #23749581 | C2 | semidirect |
| 6. #23749396 | C2 | semidirect |
| 7. #344×C149 | C2 | semidirect |
| 14. C2×#14558719 | C4 | semidirect |
| 16. C2×C8×D149 | C4 | semidirect |
| 18. #18011829 | C4 | semidirect |
| 19. #18011827 | C4 | semidirect |
| 106. C149 | #1757 | semidirect |
| 114. #344 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011919 | 2 |
| #23749607 | 2 |
| #23749598 | 2 |
| #23749583 | 2 |
| #23749581 | 2 |
| #23749396 | 2 |
| #344×C149 | 2 |
| #1757 | 149 |