Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 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×#10625072 | C2 | semidirect |
| 2. #13092984 | C2 | semidirect |
| 3. #13092667 | C2 | semidirect |
| 4. #13092650 | C2 | semidirect |
| 5. #13092455 | C2 | semidirect |
| 6. #13092422 | C2 | semidirect |
| 7. C22×D8×C23 | C2 | semidirect |
| 16. #10625109 | C22 | semidirect |
| 21. C2×#67262 | C22 | semidirect |
| 22. C2×C8×D23 | C22 | semidirect |
| 23. #10625014 | C22 | semidirect |
| 24. #10625000 | C22 | semidirect |
| 25. #10624999 | C22 | semidirect |
| 41. C2×C8×C23 | D4 | semidirect |
| 89. C22×D8 | D23 | semidirect |
| 119. C23 | #3058 | semidirect |
| 139. C2×C8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625072 | 2 |
| #13092984 | 2 |
| #13092667 | 2 |
| #13092650 | 2 |
| #13092455 | 2 |
| #13092422 | 2 |
| C22×D8×C23 | 2 |
| #3058 | 23 |