Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
762 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 762 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. C2×#10625155 | C2 | semidirect |
| 2. #13093217 | C2 | semidirect |
| 3. #13092984 | C2 | semidirect |
| 4. #13092597 | C2 | semidirect |
| 5. #13092587 | C2 | semidirect |
| 6. #13092433 | C2 | semidirect |
| 7. C2×C23×#100 | C2 | semidirect |
| 16. C2×#67288 | C22 | semidirect |
| 17. C2×M16×C23 | C22 | semidirect |
| 19. #10625111 | C22 | semidirect |
| 21. #10625107 | C22 | semidirect |
| 22. #10625097 | C22 | semidirect |
| 24. #10625080 | C22 | semidirect |
| 26. #10625079 | C22 | semidirect |
| 28. C23×#100 | C22 | semidirect |
| 29. #10625007 | C22 | semidirect |
| 52. #67288 | D4 | semidirect |
| 54. C2×D92 | D4 | semidirect |
| 55. C2×D92 | C23 | semidirect |
| 58. C2×Dic46 | D4 | semidirect |
| 59. C2×Dic46 | C23 | semidirect |
| 61. M16×C23 | C23 | semidirect |
| 66. C4×Dic23 | C23 | semidirect |
| 131. C2×#100 | D23 | semidirect |
| 153. C2×M16 | C2×D23 | semidirect |
| 160. #100 | C2×D23 | semidirect |
| 161. C23 | #3019 | semidirect |
| 197. M16 | C22×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625155 | 2 |
| #13093217 | 2 |
| #13092984 | 2 |
| #13092597 | 2 |
| #13092587 | 2 |
| #13092433 | 2 |
| C2×C23×#100 | 2 |
| #3019 | 23 |