Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 74 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×#18011969 | C2 | semidirect |
| 2. #23750567 | C2 | semidirect |
| 3. C4×C22⋊#10597010 | C2 | semidirect |
| 18. C2×C4⋊Dic149 | C4 | semidirect |
| 19. C2×C22⋊Dic149 | C4 | semidirect |
| 20. C22×D4×C149 | C4 | semidirect |
| 26. C22⋊#10597010 | D4 | semidirect |
| 103. C4×C149 | #99 | semidirect |
| 115. C149 | #1964 | semidirect |
| 122. C22×D4 | #10597010 | semidirect |
| 222. C4 | #18011969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011969 | 2 |
| #23750567 | 2 |
| C4×C22⋊#10597010 | 2 |
| C2×#18011882 | 2 |
| #1964 | 149 |