Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
736 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 145 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. #13093253 | C2 | semidirect |
| 2. C2×#10625079 | C2 | semidirect |
| 3. #13092981 | C2 | semidirect |
| 4. #13092592 | C2 | semidirect |
| 5. #13092587 | C2 | semidirect |
| 6. #13092433 | C2 | semidirect |
| 7. C23×#413 | C2 | semidirect |
| 12. #10625158 | C22 | semidirect |
| 14. #10625155 | C22 | semidirect |
| 17. C22×D92 | C22 | semidirect |
| 18. C2×M16×C23 | C22 | semidirect |
| 19. #10625118 | C22 | semidirect |
| 20. #10625111 | C22 | semidirect |
| 23. #10625097 | C22 | semidirect |
| 25. #10625079 | C22 | semidirect |
| 28. C23×#101 | C22 | semidirect |
| 29. C23×#100 | C22 | semidirect |
| 30. #10625007 | C22 | semidirect |
| 53. #67288 | D4 | semidirect |
| 59. C2×D92 | D4 | semidirect |
| 64. C2×Dic46 | D4 | semidirect |
| 135. #413 | D23 | semidirect |
| 156. C2×M16 | C2×D23 | semidirect |
| 163. #101 | C2×D23 | semidirect |
| 164. #100 | C2×D23 | semidirect |
| 165. C23 | #3021 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093253 | 2 |
| C2×#10625079 | 2 |
| #13092981 | 2 |
| #13092592 | 2 |
| #13092587 | 2 |
| #13092433 | 2 |
| C23×#413 | 2 |
| #3021 | 23 |