Finite Group DatabasebetaFinite Group DatabasebetaOrder 18112.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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×#17985392 | C2 | semidirect |
| 2. #22583641 | C2 | semidirect |
| 3. #22583640 | C2 | semidirect |
| 4. #22583636 | C2 | semidirect |
| 5. #22583635 | C2 | semidirect |
| 6. #22583630 | C2 | semidirect |
| 7. C2×#17985376 | C2 | semidirect |
| 8. C2×#41×C283 | C2 | semidirect |
| 12. #17985392 | C22 | semidirect |
| 13. C2×Dic566 | C22 | semidirect |
| 14. C2×D1132 | C22 | semidirect |
| 17. #17985382 | C22 | semidirect |
| 18. #17985380 | C22 | semidirect |
| 19. #17985379 | C22 | semidirect |
| 20. #17985377 | C22 | semidirect |
| 21. #17985376 | C22 | semidirect |
| 22. #17985376 | C22 | semidirect |
| 23. C2×C283⋊C8 | C22 | semidirect |
| 27. #41×C283 | C22 | semidirect |
| 28. C2×Q8×C283 | C22 | semidirect |
| 30. C2×D4×C283 | C22 | semidirect |
| 81. C283 | #575 | semidirect |
| 84. C2×#41 | D283 | semidirect |
| 98. #41 | C2×D283 | semidirect |
| 100. C2×Q8 | C2×D283 | semidirect |
| 104. C2×D4 | C2×D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17985392 | 2 |
| #22583641 | 2 |
| #22583640 | 2 |
| #22583636 | 2 |
| #22583635 | 2 |
| #22583630 | 2 |
| C2×#17985376 | 2 |
| C2×#41×C283 | 2 |
| #575 | 283 |