Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
440 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 145 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. #13092974 | C2 | semidirect |
| 3. #13092718 | C2 | semidirect |
| 4. #13092708 | C2 | semidirect |
| 5. #13092698 | C2 | semidirect |
| 6. #13092459 | C2 | semidirect |
| 8. C23×#423 | C2 | semidirect |
| 22. #10625041 | C22 | semidirect |
| 23. #10625040 | C22 | semidirect |
| 24. #10625040 | C22 | semidirect |
| 27. C23×C4⋊C8 | C22 | semidirect |
| 28. C23×C4⋊C8 | C22 | semidirect |
| 31. #10625000 | C22 | semidirect |
| 32. #10624999 | C22 | semidirect |
| 40. C2×D92 | Q8 | semidirect |
| 117. #423 | D23 | semidirect |
| 144. C4⋊C8 | C2×D23 | semidirect |
| 145. C4⋊C8 | C2×D23 | semidirect |
| 148. C23 | #3077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092974 | 2 |
| C2×C4×D92 | 2 |
| #13092718 | 2 |
| #13092708 | 2 |
| #13092698 | 2 |
| #13092459 | 2 |
| #13092423 | 2 |
| C23×#423 | 2 |
| #3077 | 23 |