Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #23749919 | C2 | semidirect |
| 3. #23749918 | C2 | semidirect |
| 6. #23749834 | C2 | semidirect |
| 7. #23749833 | C2 | semidirect |
| 70. C2×Dic149 | Q16 | semidirect |
| 102. C149 | #3249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750177 | 2 |
| #23749919 | 2 |
| #23749918 | 2 |
| #23749866 | 2 |
| #23749864 | 2 |
| #23749834 | 2 |
| #23749833 | 2 |
| C2×#18011840 | 2 |
| #467×C149 | 2 |
| #3249 | 149 |