Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
170 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 1. #23749972 | C2 | semidirect |
| 2. #23749916 | C2 | semidirect |
| 4. #23749704 | C2 | semidirect |
| 5. #23749373 | C2 | semidirect |
| 6. #23749368 | C2 | semidirect |
| 7. #335×C149 | C2 | semidirect |
| 82. C149 | #1697 | semidirect |
| 88. #335 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749972 | 2 |
| #23749916 | 2 |
| #23749821 | 2 |
| #23749704 | 2 |
| #23749373 | 2 |
| #23749368 | 2 |
| #335×C149 | 2 |
| #1697 | 149 |