Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13093045 | C2 | semidirect |
| 3. #13092725 | C2 | semidirect |
| 4. #13092718 | C2 | semidirect |
| 5. #13092708 | C2 | semidirect |
| 6. #13092703 | C2 | semidirect |
| 7. #13092459 | C2 | semidirect |
| 8. C2×#10624999 | C2 | semidirect |
| 11. C23×#424 | C2 | semidirect |
| 46. #67288 | Q8 | semidirect |
| 127. #424 | D23 | semidirect |
| 164. C23 | #3084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093045 | 2 |
| #13092897 | 2 |
| #13092725 | 2 |
| #13092718 | 2 |
| #13092708 | 2 |
| #13092703 | 2 |
| #13092459 | 2 |
| C2×#10624999 | 2 |
| #13092419 | 2 |
| #13092414 | 2 |
| C23×#424 | 2 |
| #3084 | 23 |