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 |
|---|---|---|
| 2. #13092714 | C2 | semidirect |
| 3. #13092704 | C2 | semidirect |
| 4. #13092694 | C2 | semidirect |
| 5. #13092460 | C2 | semidirect |
| 6. #13092441 | C2 | semidirect |
| 8. C23×#533 | C2 | semidirect |
| 11. C23×C4⋊Q8 | C22 | semidirect |
| 12. C23×C4⋊Q8 | C22 | semidirect |
| 13. C23×#125 | C22 | semidirect |
| 29. #10624990 | C22 | semidirect |
| 30. #10624989 | C22 | semidirect |
| 31. C4⋊(C23⋊C8) | C22 | semidirect |
| 32. C4⋊(C23⋊C8) | C22 | semidirect |
| 42. C2×D92 | Q8 | semidirect |
| 111. #533 | D23 | semidirect |
| 127. C4⋊Q8 | C2×D23 | semidirect |
| 128. C4⋊Q8 | C2×D23 | semidirect |
| 129. #125 | 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 |
|---|---|
| C2×C4×D92 | 2 |
| #13092714 | 2 |
| #13092704 | 2 |
| #13092694 | 2 |
| #13092460 | 2 |
| #13092441 | 2 |
| #13092421 | 2 |
| C23×#533 | 2 |
| #3077 | 23 |