Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
1038 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 1038 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×#17989686 | C2 | semidirect |
| 2. C2×#17989685 | C2 | semidirect |
| 3. #22627100 | C2 | semidirect |
| 5. C2×#14556687 | C22 | semidirect |
| 188. C2×D73 | #349 | semidirect |
| 208. C73 | #12681 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989686 | 2 |
| C2×#17989685 | 2 |
| #22627100 | 2 |
| C22×D73⋊M16 | 2 |
| #12681 | 73 |