Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
392 conjugacy classes of subgroups; only the 158 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 158 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. #23750650 | C2 | semidirect |
| 2. #23750647 | C2 | semidirect |
| 3. #23750644 | C2 | semidirect |
| 4. #23750629 | C2 | semidirect |
| 5. D149⋊(C4⋊C8) | C2 | semidirect |
| 7. #23750590 | C2 | semidirect |
| 108. C149 | #2925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750650 | 2 |
| #23750647 | 2 |
| #23750644 | 2 |
| #23750629 | 2 |
| D149⋊(C4⋊C8) | 2 |
| #23750600 | 2 |
| #23750590 | 2 |
| C4×#14558737 | 2 |
| #2925 | 149 |