Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
1252 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 1252 conjugacy classes of subgroups — too many to draw. Only its 253 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. C2×#10625064 | C2 | semidirect |
| 3. C2×C22⋊C4×D23 | C2 | semidirect |
| 4. #13092318 | C2 | semidirect |
| 5. #13092295 | C2 | semidirect |
| 6. #13092272 | C2 | semidirect |
| 7. C4×C22⋊Dic23 | C2 | semidirect |
| 8. C23×#380 | C2 | semidirect |
| 12. C22×D92 | C4 | semidirect |
| 16. C22×C4×D23 | C22 | semidirect |
| 17. C2×C4⋊C4×C23 | C22 | semidirect |
| 21. C2×(C2×D23)⋊C4 | C22 | semidirect |
| 22. C2×(C2×D23)⋊C4 | C22 | semidirect |
| 23. C2×(C2×D23)⋊C4 | C22 | semidirect |
| 24. C2×C4×Dic23 | C22 | semidirect |
| 27. C23×#95 | C22 | semidirect |
| 28. C23⋊#95 | C22 | semidirect |
| 34. C23×D23 | C2×C4 | semidirect |
| 38. C22×C4×C23 | C2×C4 | semidirect |
| 48. C2×D92 | C2×C4 | semidirect |
| 49. C2×D92 | C2×C4 | semidirect |
| 57. C22⋊Dic23 | D4 | semidirect |
| 96. C2×Dic23 | C2×D4 | semidirect |
| 99. D92 | C22⋊C4 | semidirect |
| 106. C22×C23 | C4×D4 | semidirect |
| 122. C2×D23 | C2×C22⋊C4 | semidirect |
| 125. C4×C23 | C2×C22⋊C4 | semidirect |
| 133. #380 | D23 | semidirect |
| 153. C2×C4⋊C4 | C2×D23 | semidirect |
| 163. #95 | C2×D23 | semidirect |
| 164. C23 | D4×C22⋊C4 | semidirect |
| 186. C22×C4 | C4×D23 | semidirect |
| 252. C22 | #10625064 | semidirect |
| 262. C4 | C22⋊C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×D92 | 2 |
| C2×#10625064 | 2 |
| C2×C22⋊C4×D23 | 2 |
| #13092318 | 2 |
| #13092295 | 2 |
| #13092272 | 2 |
| C4×C22⋊Dic23 | 2 |
| C23×#380 | 2 |
| D4×C22⋊C4 | 23 |