Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
262 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 93 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. #23749674 | C2 | semidirect |
| 3. #23749649 | C2 | semidirect |
| 5. #23749397 | C2 | semidirect |
| 6. #23749385 | C2 | semidirect |
| 21. #104×C149 | C4 | semidirect |
| 22. #104×C149 | C4 | semidirect |
| 97. C149 | #1861 | semidirect |
| 119. #104 | Dic149 | semidirect |
| 120. #104 | Dic149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750392 | 2 |
| #23749674 | 2 |
| #23749649 | 2 |
| #23749642 | 2 |
| #23749397 | 2 |
| #23749385 | 2 |
| C2×#104×C149 | 2 |
| #1861 | 149 |