Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
430 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 119 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. #13092968 | C2 | semidirect |
| 2. C4×#67292 | C2 | semidirect |
| 3. #13092743 | C2 | semidirect |
| 4. #13092694 | C2 | semidirect |
| 5. #13092617 | C2 | semidirect |
| 6. #13092613 | C2 | semidirect |
| 7. #13092565 | C2 | semidirect |
| 8. #13092528 | C2 | semidirect |
| 9. #13092520 | C2 | semidirect |
| 10. #13092473 | C2 | semidirect |
| 11. C23×#475 | C2 | semidirect |
| 88. Q8×C23 | #41 | semidirect |
| 106. D92 | #41 | semidirect |
| 142. #475 | D23 | semidirect |
| 187. C23 | #3115 | semidirect |
| 233. Q8 | #67292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092968 | 2 |
| C4×#67292 | 2 |
| #13092743 | 2 |
| #13092694 | 2 |
| #13092617 | 2 |
| #13092613 | 2 |
| #13092565 | 2 |
| #13092528 | 2 |
| #13092520 | 2 |
| #13092473 | 2 |
| C23×#475 | 2 |
| #3115 | 23 |