Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #13092768 | C2 | semidirect |
| 4. #13092754 | C2 | semidirect |
| 5. #13092712 | C2 | semidirect |
| 6. #13092657 | C2 | semidirect |
| 7. #13092627 | C2 | semidirect |
| 8. #13092571 | C2 | semidirect |
| 10. #103×D23 | C2 | semidirect |
| 11. C4×Q16×C23 | C2 | semidirect |
| 91. D92 | Q16 | semidirect |
| 127. C4×Q16 | D23 | semidirect |
| 163. C23 | #3299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093127 | 2 |
| Q8×D92 | 2 |
| #13092768 | 2 |
| #13092754 | 2 |
| #13092712 | 2 |
| #13092657 | 2 |
| #13092627 | 2 |
| #13092571 | 2 |
| C8×D92 | 2 |
| #103×D23 | 2 |
| C4×Q16×C23 | 2 |
| #3299 | 23 |