Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
314 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13092791 | C2 | semidirect |
| 3. #13092704 | C2 | semidirect |
| 4. #13092160 | C2 | semidirect |
| 5. D4⋊(C23⋊C8) | C2 | semidirect |
| 6. #13092144 | C2 | semidirect |
| 7. C23×#476 | C2 | semidirect |
| 10. C23×C4⋊Q8 | C22 | semidirect |
| 19. C23×C4⋊C8 | C22 | semidirect |
| 23. C4⋊(C23⋊C8) | C22 | semidirect |
| 24. C4×C23⋊C8 | C22 | semidirect |
| 60. D4×C23 | SD16 | semidirect |
| 77. D92 | SD16 | semidirect |
| 106. #476 | D23 | semidirect |
| 119. C4⋊Q8 | C2×D23 | semidirect |
| 129. C4⋊C8 | C2×D23 | semidirect |
| 133. C23 | #1629 | semidirect |
| 178. 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 |
| #13092791 | 2 |
| #13092704 | 2 |
| #13092160 | 2 |
| D4⋊(C23⋊C8) | 2 |
| #13092144 | 2 |
| C23×#476 | 2 |
| #1629 | 23 |