Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
380 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 125 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. #23749992 | C2 | semidirect |
| 4. #23749977 | C2 | semidirect |
| 5. #23749976 | C2 | semidirect |
| 6. #23749975 | C2 | semidirect |
| 9. #487×C149 | C2 | semidirect |
| 106. C149 | #3139 | semidirect |
| 114. #487 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750180 | 2 |
| C4⋊Q8×D149 | 2 |
| #23749992 | 2 |
| #23749977 | 2 |
| #23749976 | 2 |
| #23749975 | 2 |
| #23749632 | 2 |
| C4×#14558719 | 2 |
| #487×C149 | 2 |
| #3139 | 149 |