Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
304 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 62 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. D149⋊(C22⋊C8) | C2 | semidirect |
| 2. C4×C22⋊#10597010 | C2 | semidirect |
| 3. #23750479 | C2 | semidirect |
| 4. #23750476 | C2 | semidirect |
| 14. #18011887 | C4 | semidirect |
| 16. #18011882 | C4 | semidirect |
| 21. #18011870 | C4 | semidirect |
| 22. C2×#41×C149 | C4 | semidirect |
| 112. C149 | #1501 | semidirect |
| 119. C2×#41 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D149⋊(C22⋊C8) | 2 |
| C4×C22⋊#10597010 | 2 |
| #23750479 | 2 |
| #23750476 | 2 |
| #23750132 | 2 |
| #1501 | 149 |