Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
362 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 149 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. #23749932 | C2 | semidirect |
| 3. #23749932 | C2 | semidirect |
| 4. #23749920 | C2 | semidirect |
| 5. #23749910 | C2 | semidirect |
| 59. C2×Q8×C149 | Q8 | semidirect |
| 116. C149 | #3082 | semidirect |
| 161. C2×Q8 | Dic298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750253 | 2 |
| #23749932 | 2 |
| #23749920 | 2 |
| #23749910 | 2 |
| #23749668 | 2 |
| #23749661 | 2 |
| #23749652 | 2 |
| #23749634 | 2 |
| C2×#18011835 | 2 |
| #519×C149 | 2 |
| #3082 | 149 |