Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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. #13092765 | C2 | semidirect |
| 3. #13092735 | C2 | semidirect |
| 4. #13092704 | C2 | semidirect |
| 5. #13092648 | C2 | semidirect |
| 6. #13092617 | C2 | semidirect |
| 7. #13092567 | C2 | semidirect |
| 8. C4×#67274 | C2 | semidirect |
| 9. D4×C23⋊C8 | C2 | semidirect |
| 10. C2×#10624991 | C2 | semidirect |
| 11. C23×#554 | C2 | semidirect |
| 14. C23×C4⋊Q8 | C22 | semidirect |
| 17. C23×C22⋊Q8 | C22 | semidirect |
| 18. C4×Q8×C23 | C22 | semidirect |
| 21. C2×C4⋊C4×C23 | C22 | semidirect |
| 23. C2×#67274 | C22 | semidirect |
| 25. C22×C23⋊C8 | C22 | semidirect |
| 30. #10625017 | C22 | semidirect |
| 31. C22⋊(C23⋊C8) | C22 | semidirect |
| 34. #10624991 | C22 | semidirect |
| 35. #10624991 | C22 | semidirect |
| 36. #10624991 | C22 | semidirect |
| 37. #10624990 | C22 | semidirect |
| 38. #10624990 | C22 | semidirect |
| 39. C4⋊(C23⋊C8) | C22 | semidirect |
| 40. C4×C23⋊C8 | C22 | semidirect |
| 86. D4×C23 | SD16 | semidirect |
| 131. #554 | D23 | semidirect |
| 153. C4⋊Q8 | C2×D23 | semidirect |
| 157. C22⋊Q8 | C2×D23 | semidirect |
| 161. C4×Q8 | C2×D23 | semidirect |
| 165. C2×C4⋊C4 | C2×D23 | semidirect |
| 177. C23 | #3295 | semidirect |
| 231. D4 | #67274 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D92 | 2 |
| #13092765 | 2 |
| #13092735 | 2 |
| #13092704 | 2 |
| #13092648 | 2 |
| #13092617 | 2 |
| #13092567 | 2 |
| C4×#67274 | 2 |
| D4×C23⋊C8 | 2 |
| C2×#10624991 | 2 |
| C23×#554 | 2 |
| #3295 | 23 |