Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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. C2×#10625103 | C2 | semidirect |
| 2. C2×#10625119 | C2 | semidirect |
| 3. #13092995 | C2 | semidirect |
| 4. #13092668 | C2 | semidirect |
| 5. #13092661 | C2 | semidirect |
| 6. #13092651 | C2 | semidirect |
| 7. #13092644 | C2 | semidirect |
| 8. #13092460 | C2 | semidirect |
| 9. #13092411 | C2 | semidirect |
| 10. C2×#10625014 | C2 | semidirect |
| 11. C23×#535 | C2 | semidirect |
| 28. #10625101 | C22 | semidirect |
| 30. #10625095 | C22 | semidirect |
| 32. C2×#67267 | C22 | semidirect |
| 34. C22×C23⋊C8 | C22 | semidirect |
| 37. #10624992 | C22 | semidirect |
| 38. #10624992 | C22 | semidirect |
| 39. #10624991 | C22 | semidirect |
| 40. #10624991 | C22 | semidirect |
| 41. #10624990 | C22 | semidirect |
| 42. #10624989 | C22 | semidirect |
| 79. #67267 | D4 | semidirect |
| 148. #535 | D23 | semidirect |
| 194. C23 | #3062 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625103 | 2 |
| C2×#10625119 | 2 |
| #13092995 | 2 |
| #13092668 | 2 |
| #13092661 | 2 |
| #13092651 | 2 |
| #13092644 | 2 |
| #13092460 | 2 |
| #13092411 | 2 |
| C2×#10625014 | 2 |
| C23×#535 | 2 |
| #3062 | 23 |