Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. #13092755 | C2 | semidirect |
| 3. #13092709 | C2 | semidirect |
| 4. #13092704 | C2 | semidirect |
| 5. #13092624 | C2 | semidirect |
| 6. #13092619 | C2 | semidirect |
| 8. #13092522 | C2 | semidirect |
| 9. #13092515 | C2 | semidirect |
| 10. #13092474 | C2 | semidirect |
| 11. C23×#533 | C2 | semidirect |
| 132. #533 | D23 | semidirect |
| 179. C23 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#67288 | 2 |
| #13092755 | 2 |
| #13092709 | 2 |
| #13092704 | 2 |
| #13092624 | 2 |
| #13092619 | 2 |
| #13092577 | 2 |
| #13092522 | 2 |
| #13092515 | 2 |
| #13092474 | 2 |
| C23×#533 | 2 |
| #3116 | 23 |