Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
482 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 482 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. C2×#10625083 | C2 | semidirect |
| 2. C2×Q16×D23 | C2 | semidirect |
| 3. #13093075 | C2 | semidirect |
| 4. #13092655 | C2 | semidirect |
| 5. #13092650 | C2 | semidirect |
| 6. #13092636 | C2 | semidirect |
| 7. #13092576 | C2 | semidirect |
| 8. #13092554 | C2 | semidirect |
| 9. C4×Dic92 | C2 | semidirect |
| 10. C8×D92 | C2 | semidirect |
| 11. C23×#495 | C2 | semidirect |
| 77. Dic92 | D4 | semidirect |
| 121. C2×D23 | #135 | semidirect |
| 134. #495 | D23 | semidirect |
| 177. C23 | #3285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625083 | 2 |
| C2×Q16×D23 | 2 |
| #13093075 | 2 |
| #13092655 | 2 |
| #13092650 | 2 |
| #13092636 | 2 |
| #13092576 | 2 |
| #13092554 | 2 |
| C4×Dic92 | 2 |
| C8×D92 | 2 |
| C23×#495 | 2 |
| #3285 | 23 |