Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
398 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13093072 | C2 | semidirect |
| 2. #13092769 | C2 | semidirect |
| 3. #13092758 | C2 | semidirect |
| 4. #13092704 | C2 | semidirect |
| 5. #13092644 | C2 | semidirect |
| 6. #13092622 | C2 | semidirect |
| 7. #13092560 | C2 | semidirect |
| 8. C4×#67272 | C2 | semidirect |
| 9. D4×C23⋊C8 | C2 | semidirect |
| 10. #13092411 | C2 | semidirect |
| 11. C23×#555 | C2 | semidirect |
| 125. #555 | D23 | semidirect |
| 171. C23 | #3303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093072 | 2 |
| #13092769 | 2 |
| #13092758 | 2 |
| #13092704 | 2 |
| #13092644 | 2 |
| #13092622 | 2 |
| #13092560 | 2 |
| C4×#67272 | 2 |
| D4×C23⋊C8 | 2 |
| #13092411 | 2 |
| C23×#555 | 2 |
| #3303 | 23 |