Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
738 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 249 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 |
|---|---|---|
| 2. #41×Dic23 | C2 | semidirect |
| 3. #13092433 | C2 | semidirect |
| 4. C2×#10625007 | C2 | semidirect |
| 5. C23×#568 | C2 | semidirect |
| 7. #10625161 | C4 | semidirect |
| 8. #10625160 | C4 | semidirect |
| 14. C2×M16×C23 | C22 | semidirect |
| 17. #10625097 | C22 | semidirect |
| 18. C2×C4×Dic23 | C22 | semidirect |
| 19. #10625007 | C22 | semidirect |
| 20. #10625007 | C22 | semidirect |
| 34. #67288 | C2×C4 | semidirect |
| 36. C2×D92 | C2×C4 | semidirect |
| 38. C2×Dic46 | C2×C4 | semidirect |
| 81. #568 | D23 | semidirect |
| 97. C2×M16 | C2×D23 | semidirect |
| 104. C23 | #2901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093253 | 2 |
| #41×Dic23 | 2 |
| #13092433 | 2 |
| C2×#10625007 | 2 |
| C23×#568 | 2 |
| #2901 | 23 |