Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
754 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 169 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×#10625122 | C2 | semidirect |
| 2. C2×#10625095 | C2 | semidirect |
| 3. #13092579 | C2 | semidirect |
| 4. #13092573 | C2 | semidirect |
| 5. #13092568 | C2 | semidirect |
| 6. #13092418 | C2 | semidirect |
| 7. #13092381 | C2 | semidirect |
| 19. C22×Dic46 | C22 | semidirect |
| 22. C2×#67275 | C22 | semidirect |
| 23. C2×#67273 | C22 | semidirect |
| 24. C2×C4⋊Dic23 | C22 | semidirect |
| 28. #10625095 | C22 | semidirect |
| 30. C2×#67267 | C22 | semidirect |
| 31. #10625017 | C22 | semidirect |
| 32. #10625014 | C22 | semidirect |
| 34. C22⋊(C23⋊C8) | C22 | semidirect |
| 131. C22×C23 | #137 | semidirect |
| 181. C23 | #3007 | semidirect |
| 276. C22 | #10625122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625122 | 2 |
| C2×#10625095 | 2 |
| #13092579 | 2 |
| #13092573 | 2 |
| #13092568 | 2 |
| #13092418 | 2 |
| #13092381 | 2 |
| C22×#41×C23 | 2 |
| #3007 | 23 |