Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
348 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 3. #23750034 | C2 | semidirect |
| 4. #23750027 | C2 | semidirect |
| 36. M16×C149 | Q8 | semidirect |
| 65. C149 | #3166 | semidirect |
| 93. M16 | Dic298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750182 | 2 |
| C2×#18011903 | 2 |
| #23750034 | 2 |
| #23750027 | 2 |
| #23749667 | 2 |
| C4×M16×C149 | 2 |
| #3166 | 149 |