Finite Group DatabasebetaFinite Group DatabasebetaOrder 19904.
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×#19097315 | C2 | semidirect |
| 2. #23755739 | C2 | semidirect |
| 3. #23755738 | C2 | semidirect |
| 4. #23755734 | C2 | semidirect |
| 5. #23755733 | C2 | semidirect |
| 6. #23755728 | C2 | semidirect |
| 7. C2×#19097299 | C2 | semidirect |
| 8. C2×#41×C311 | C2 | semidirect |
| 12. #19097315 | C22 | semidirect |
| 13. C2×Dic622 | C22 | semidirect |
| 14. C2×D1244 | C22 | semidirect |
| 17. #19097305 | C22 | semidirect |
| 18. #19097303 | C22 | semidirect |
| 19. #19097302 | C22 | semidirect |
| 20. #19097300 | C22 | semidirect |
| 21. #19097299 | C22 | semidirect |
| 22. #19097299 | C22 | semidirect |
| 23. C2×C311⋊C8 | C22 | semidirect |
| 27. #41×C311 | C22 | semidirect |
| 28. C2×Q8×C311 | C22 | semidirect |
| 30. C2×D4×C311 | C22 | semidirect |
| 81. C311 | #575 | semidirect |
| 84. C2×#41 | D311 | semidirect |
| 98. #41 | C2×D311 | semidirect |
| 100. C2×Q8 | C2×D311 | semidirect |
| 104. C2×D4 | C2×D311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19097315 | 2 |
| #23755739 | 2 |
| #23755738 | 2 |
| #23755734 | 2 |
| #23755733 | 2 |
| #23755728 | 2 |
| C2×#19097299 | 2 |
| C2×#41×C311 | 2 |
| #575 | 311 |