Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
384 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 173 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. #23749685 | C2 | semidirect |
| 3. #23749681 | C2 | semidirect |
| 4. #23749652 | C2 | semidirect |
| 7. M16×Dic149 | C2 | semidirect |
| 8. C2×#18011821 | C2 | semidirect |
| 9. #424×C149 | C2 | semidirect |
| 93. C149 | #2923 | semidirect |
| 99. #424 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750093 | 2 |
| #23749685 | 2 |
| #23749681 | 2 |
| #23749652 | 2 |
| #23749593 | 2 |
| #23749591 | 2 |
| M16×Dic149 | 2 |
| C2×#18011821 | 2 |
| #424×C149 | 2 |
| #2923 | 149 |