Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
230 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 19. #18011843 | C4 | semidirect |
| 20. #18011842 | C4 | semidirect |
| 21. #18011842 | C4 | semidirect |
| 22. #106×C149 | C4 | semidirect |
| 107. C149 | #1919 | semidirect |
| 128. #106 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750576 | 2 |
| C4⋊C4×#10597010 | 2 |
| #23750499 | 2 |
| #23750498 | 2 |
| (C2×#10597010)⋊C8 | 2 |
| #106×D149 | 2 |
| #1919 | 149 |