Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #23750106 | C2 | semidirect |
| 3. #23749724 | C2 | semidirect |
| 4. #23749719 | C2 | semidirect |
| 5. #23749707 | C2 | semidirect |
| 6. #23749624 | C2 | semidirect |
| 7. #23749580 | C2 | semidirect |
| 8. C2×#107×C149 | C2 | semidirect |
| 10. #18011933 | C4 | semidirect |
| 30. #14558736 | C2×C4 | semidirect |
| 36. Dic596 | C2×C4 | semidirect |
| 37. #14558725 | C2×C4 | semidirect |
| 38. D1192 | C2×C4 | semidirect |
| 50. C2×C8×C149 | C2×C4 | semidirect |
| 95. C149 | #2951 | semidirect |
| 102. C2×#107 | D149 | semidirect |
| 139. C2×C8 | C4×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011933 | 2 |
| #23750106 | 2 |
| #23749724 | 2 |
| #23749719 | 2 |
| #23749707 | 2 |
| #23749624 | 2 |
| #23749580 | 2 |
| C2×#107×C149 | 2 |
| #2951 | 149 |