Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
284 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 3. #23750588 | C2 | semidirect |
| 4. #23750507 | C2 | semidirect |
| 8. #18011972 | C4 | semidirect |
| 9. #18011971 | C4 | semidirect |
| 17. C2×#14558719 | C4 | semidirect |
| 19. C22×#11924746 | C4 | semidirect |
| 20. C2×C8×D149 | C4 | semidirect |
| 22. C2×M16×C149 | C4 | semidirect |
| 93. C149 | #1757 | semidirect |
| 106. C2×M16 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750611 | 2 |
| #23750604 | 2 |
| #23750588 | 2 |
| #23750507 | 2 |
| C2×#18011919 | 2 |
| #1757 | 149 |