Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
426 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 426 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. C2×#17988416 | C2 | semidirect |
| 3. C2×#17988395 | C2 | semidirect |
| 4. C2×C16×Dic73 | C2 | semidirect |
| 5. #22610820 | C2 | semidirect |
| 6. #22610817 | C2 | semidirect |
| 7. C2×#359×C73 | C2 | semidirect |
| 11. C2×#14556537 | C4 | semidirect |
| 12. C2×#14556535 | C4 | semidirect |
| 13. C2×#14556534 | C4 | semidirect |
| 14. C2×#14556532 | C4 | semidirect |
| 182. C2×#359 | D73 | semidirect |
| 186. C73 | #13241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989017 | 2 |
| C2×#17988416 | 2 |
| C2×#17988395 | 2 |
| C2×C16×Dic73 | 2 |
| #22610820 | 2 |
| #22610817 | 2 |
| C2×#359×C73 | 2 |
| #13241 | 73 |