Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
482 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 109 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. #22610073 | C2 | semidirect |
| 3. #22610046 | C2 | semidirect |
| 4. #22607755 | C2 | semidirect |
| 5. #22607753 | C2 | semidirect |
| 31. D4×Dic73 | C8 | semidirect |
| 205. C73 | #7594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22612393 | 2 |
| #22610073 | 2 |
| #22610046 | 2 |
| #22607755 | 2 |
| #22607753 | 2 |
| #22607752 | 2 |
| C73×#1270 | 2 |
| #7594 | 73 |