Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
380 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 5. #23749908 | C2 | semidirect |
| 6. #23749833 | C2 | semidirect |
| 8. #23749732 | C2 | semidirect |
| 9. #23749729 | C2 | semidirect |
| 127. C149 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750177 | 2 |
| C2×Q8×Dic149 | 2 |
| #23749956 | 2 |
| #23749953 | 2 |
| #23749908 | 2 |
| #23749833 | 2 |
| #23749781 | 2 |
| #23749732 | 2 |
| #23749729 | 2 |
| #23749679 | 2 |
| #451×C149 | 2 |
| #3113 | 149 |