Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 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 |
|---|---|---|
| 2. C4⋊Q8×D149 | C2 | semidirect |
| 3. #23749996 | C2 | semidirect |
| 4. #23749974 | C2 | semidirect |
| 5. #23749831 | C2 | semidirect |
| 6. #23749830 | C2 | semidirect |
| 7. #23749827 | C2 | semidirect |
| 8. #23749765 | C2 | semidirect |
| 9. #23749762 | C2 | semidirect |
| 10. #23749677 | C2 | semidirect |
| 11. #461×C149 | C2 | semidirect |
| 107. C4×D149 | SD16 | semidirect |
| 148. C149 | #3206 | semidirect |
| 157. #461 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750172 | 2 |
| C4⋊Q8×D149 | 2 |
| #23749996 | 2 |
| #23749974 | 2 |
| #23749831 | 2 |
| #23749830 | 2 |
| #23749827 | 2 |
| #23749765 | 2 |
| #23749762 | 2 |
| #23749677 | 2 |
| #461×C149 | 2 |
| #3206 | 149 |