Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #23750003 | C2 | semidirect |
| 4. #23749974 | C2 | semidirect |
| 5. #23749836 | C2 | semidirect |
| 6. #23749835 | C2 | semidirect |
| 7. #23749832 | C2 | semidirect |
| 11. #462×C149 | C2 | semidirect |
| 101. C4×D149 | Q16 | semidirect |
| 135. C149 | #3209 | semidirect |
| 144. #462 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750179 | 2 |
| C4⋊Q8×D149 | 2 |
| #23750003 | 2 |
| #23749974 | 2 |
| #23749836 | 2 |
| #23749835 | 2 |
| #23749832 | 2 |
| #23749782 | 2 |
| #23749779 | 2 |
| #23749677 | 2 |
| #462×C149 | 2 |
| #3209 | 149 |