Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
336 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#18011836 | C2 | semidirect |
| 3. C2×#18011834 | C2 | semidirect |
| 5. C2×C8×Dic149 | C2 | semidirect |
| 6. #23749490 | C2 | semidirect |
| 11. #18011898 | C4 | semidirect |
| 111. C149 | #1958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011898 | 2 |
| C2×#18011836 | 2 |
| C2×#18011834 | 2 |
| C2×#18011832 | 2 |
| C2×C8×Dic149 | 2 |
| #23749490 | 2 |
| C2×#102×C149 | 2 |
| #1958 | 149 |