Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
338 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 338 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. #23750354 | C2 | semidirect |
| 3. #23750025 | C2 | semidirect |
| 4. #23750023 | C2 | semidirect |
| 5. #23749930 | C2 | semidirect |
| 7. #23749920 | C2 | semidirect |
| 9. C8×Dic298 | C2 | semidirect |
| 63. SD16×C149 | Q8 | semidirect |
| 114. C149 | #3381 | semidirect |
| 163. SD16 | Dic298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750354 | 2 |
| #23750332 | 2 |
| #23750025 | 2 |
| #23750023 | 2 |
| #23749930 | 2 |
| #23749927 | 2 |
| #23749920 | 2 |
| #23749905 | 2 |
| C8×Dic298 | 2 |
| SD16×Dic149 | 2 |
| C4×SD16×C149 | 2 |
| #3381 | 149 |