Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
430 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 97 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×#17989692 | C2 | semidirect |
| 2. C2×#17989688 | C2 | semidirect |
| 3. C2×#17989687 | C2 | semidirect |
| 4. #22627103 | C2 | semidirect |
| 5. #22627102 | C2 | semidirect |
| 6. C2×#17989682 | C2 | semidirect |
| 187. C73 | #13196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989692 | 2 |
| C2×#17989688 | 2 |
| C2×#17989687 | 2 |
| #22627103 | 2 |
| #22627102 | 2 |
| C2×#17989682 | 2 |
| C2×#17989630 | 2 |
| #13196 | 73 |