Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 137 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×#10625097 | C2 | semidirect |
| 2. #13092738 | C2 | semidirect |
| 3. #13092733 | C2 | semidirect |
| 4. #13092728 | C2 | semidirect |
| 5. #13092457 | C2 | semidirect |
| 6. #13092422 | C2 | semidirect |
| 7. #13092381 | C2 | semidirect |
| 22. #10625097 | C22 | semidirect |
| 23. C2×C4⋊Dic23 | C22 | semidirect |
| 24. C2×C4⋊Dic23 | C22 | semidirect |
| 27. #10625014 | C22 | semidirect |
| 28. #10625014 | C22 | semidirect |
| 29. C22⋊(C23⋊C8) | C22 | semidirect |
| 30. C22⋊(C23⋊C8) | C22 | semidirect |
| 31. #10624990 | C22 | semidirect |
| 32. #10624989 | C22 | semidirect |
| 158. C23 | #3094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625097 | 2 |
| #13092738 | 2 |
| #13092733 | 2 |
| #13092728 | 2 |
| #13092457 | 2 |
| #13092422 | 2 |
| #13092381 | 2 |
| C2×C23×#121 | 2 |
| #3094 | 23 |