Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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×#10625083 | C2 | semidirect |
| 2. C2×M16×D23 | C2 | semidirect |
| 3. #13092927 | C2 | semidirect |
| 4. #13092676 | C2 | semidirect |
| 5. #13092675 | C2 | semidirect |
| 6. #13092667 | C2 | semidirect |
| 7. #13092662 | C2 | semidirect |
| 8. #13092661 | C2 | semidirect |
| 9. #13092452 | C2 | semidirect |
| 10. #13092410 | C2 | semidirect |
| 11. C23×#469 | C2 | semidirect |
| 14. C2×D8×C23 | C22 | semidirect |
| 20. C2×#67273 | C22 | semidirect |
| 25. C2×Dic92 | C22 | semidirect |
| 34. C23×#106 | C22 | semidirect |
| 35. C23×#102 | C22 | semidirect |
| 36. #10625014 | C22 | semidirect |
| 37. #10624999 | C22 | semidirect |
| 38. #10624998 | C22 | semidirect |
| 39. #10624992 | C22 | semidirect |
| 40. #10624989 | C22 | semidirect |
| 80. C8×D23 | D4 | semidirect |
| 141. #469 | D23 | semidirect |
| 157. C2×D8 | C2×D23 | semidirect |
| 176. #106 | C2×D23 | semidirect |
| 180. #102 | C2×D23 | semidirect |
| 181. C23 | #3054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625083 | 2 |
| C2×M16×D23 | 2 |
| #13092927 | 2 |
| #13092676 | 2 |
| #13092675 | 2 |
| #13092667 | 2 |
| #13092662 | 2 |
| #13092661 | 2 |
| #13092452 | 2 |
| #13092410 | 2 |
| C23×#469 | 2 |
| #3054 | 23 |