Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #13092964 | C2 | semidirect |
| 2. #13092821 | C2 | semidirect |
| 3. #13092792 | C2 | semidirect |
| 4. #13092762 | C2 | semidirect |
| 5. #13092654 | C2 | semidirect |
| 6. #13092652 | C2 | semidirect |
| 7. #13092650 | C2 | semidirect |
| 8. C4×D184 | C2 | semidirect |
| 9. C4×#67272 | C2 | semidirect |
| 10. C4×C8×D23 | C2 | semidirect |
| 11. C4×D8×C23 | C2 | semidirect |
| 96. C4×D23 | D8 | semidirect |
| 99. C8×C23 | #41 | semidirect |
| 101. C23⋊C8 | #41 | semidirect |
| 131. C4×D8 | D23 | semidirect |
| 166. C23 | #3169 | semidirect |
| 229. C8 | #67288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092964 | 2 |
| #13092821 | 2 |
| #13092792 | 2 |
| #13092762 | 2 |
| #13092654 | 2 |
| #13092652 | 2 |
| #13092650 | 2 |
| C4×D184 | 2 |
| C4×#67272 | 2 |
| C4×C8×D23 | 2 |
| C4×D8×C23 | 2 |
| #3169 | 23 |