Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
1162 conjugacy classes of subgroups; only the 293 normal subgroups are shown.
This group has 1162 conjugacy classes of subgroups — too many to draw. Only its 293 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×#17989706 | C2 | semidirect |
| 2. #22627102 | C2 | semidirect |
| 3. #22627098 | C2 | semidirect |
| 5. C2×#14556688 | C22 | semidirect |
| 8. C2×#14556686 | C22 | semidirect |
| 9. C22⋊#11924040 | C22 | semidirect |
| 136. C73 | #33333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989706 | 2 |
| #22627102 | 2 |
| #22627098 | 2 |
| C22×#14556678 | 2 |
| #33333 | 73 |