Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
792 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 218 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. C22×#14558746 | C2 | semidirect |
| 2. C22×D149⋊C8 | C2 | semidirect |
| 3. #23750599 | C2 | direct (N × H) |
| 4. C2×C22⋊#11924753 | C2 | semidirect |
| 7. C2×#14558746 | C22 | semidirect |
| 9. C2×D149⋊C8 | C22 | semidirect |
| 12. C22⋊#11924753 | C22 | semidirect |
| 91. C2×C149 | #408 | semidirect |
| 95. C149 | C2×#408 | semidirect |
| 188. C2 | #23750599 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558746 | 2 |
| C22×D149⋊C8 | 2 |
| #23750599 | 2 |
| C2×C22⋊#11924753 | 2 |
| C22×#14558735 | 2 |
| C2×#408 | 149 |