Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×Dic596 | C2 | semidirect |
| 2. C2×Q16×D149 | C2 | semidirect |
| 4. #23750003 | C2 | semidirect |
| 5. #23749867 | C2 | semidirect |
| 6. #23749834 | C2 | semidirect |
| 7. #23749782 | C2 | semidirect |
| 8. #23749780 | C2 | semidirect |
| 9. #23749719 | C2 | semidirect |
| 11. #467×C149 | C2 | semidirect |
| 55. Dic596 | D4 | semidirect |
| 87. C22⋊D149 | Q16 | semidirect |
| 112. C22×C149 | C2×Q16 | semidirect |
| 116. C2×D149 | C2×Q16 | semidirect |
| 126. Dic149 | C2×Q16 | semidirect |
| 132. C149 | D4×Q16 | semidirect |
| 139. #467 | D149 | semidirect |
| 248. C22 | Q16×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic596 | 2 |
| C2×Q16×D149 | 2 |
| #23750288 | 2 |
| #23750003 | 2 |
| #23749867 | 2 |
| #23749834 | 2 |
| #23749782 | 2 |
| #23749780 | 2 |
| #23749719 | 2 |
| C8×C22⋊D149 | 2 |
| #467×C149 | 2 |
| D4×Q16 | 149 |