Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13093071 | C2 | semidirect |
| 2. #13092763 | C2 | semidirect |
| 3. #13092728 | C2 | semidirect |
| 4. #13092697 | C2 | semidirect |
| 5. #13092651 | C2 | semidirect |
| 6. #13092609 | C2 | semidirect |
| 7. #13092551 | C2 | semidirect |
| 8. C4×#67272 | C2 | semidirect |
| 9. D4×C23⋊C8 | C2 | semidirect |
| 10. C2×#10625014 | C2 | semidirect |
| 11. D42×C23 | C2 | semidirect |
| 22. C2×#67272 | C22 | semidirect |
| 23. #10625101 | C22 | semidirect |
| 24. C2×C4⋊Dic23 | C22 | semidirect |
| 25. C22×C23⋊C8 | C22 | semidirect |
| 28. C4×D92 | C22 | semidirect |
| 29. #10625040 | C22 | semidirect |
| 32. #10625014 | C22 | semidirect |
| 33. #10625014 | C22 | semidirect |
| 34. #10625014 | C22 | semidirect |
| 35. C22⋊(C23⋊C8) | C22 | semidirect |
| 36. #10624991 | C22 | semidirect |
| 37. #10624989 | C22 | semidirect |
| 38. #10624989 | C22 | semidirect |
| 39. C4⋊(C23⋊C8) | C22 | semidirect |
| 40. C4×C23⋊C8 | C22 | semidirect |
| 92. D4×C23 | D8 | semidirect |
| 93. D4×C23 | #41 | semidirect |
| 137. D42 | D23 | semidirect |
| 183. C23 | #3294 | semidirect |
| 239. D4 | #67272 | semidirect |
| 240. D4 | #67290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093071 | 2 |
| #13092763 | 2 |
| #13092728 | 2 |
| #13092697 | 2 |
| #13092651 | 2 |
| #13092609 | 2 |
| #13092551 | 2 |
| C4×#67272 | 2 |
| D4×C23⋊C8 | 2 |
| C2×#10625014 | 2 |
| D42×C23 | 2 |
| #3294 | 23 |