Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
490 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 91 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×#17988385 | C2 | semidirect |
| 3. C2×#17988385 | C2 | semidirect |
| 5. #22609925 | C2 | semidirect |
| 6. #101×Dic73 | C2 | semidirect |
| 236. C73 | #13228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22614910 | 2 |
| C2×#17988385 | 2 |
| C2×#17988384 | 2 |
| #22609925 | 2 |
| #101×Dic73 | 2 |
| C2×#355×C73 | 2 |
| #13228 | 73 |