Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13093142 | C2 | semidirect |
| 3. #13092773 | C2 | semidirect |
| 5. #13092716 | C2 | semidirect |
| 6. #13092642 | C2 | semidirect |
| 8. #13092541 | C2 | semidirect |
| 9. C4×#67275 | C2 | semidirect |
| 10. #13092504 | C2 | semidirect |
| 11. C23×#475 | C2 | semidirect |
| 119. #475 | D23 | semidirect |
| 158. C23 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093152 | 2 |
| #13093142 | 2 |
| #13092773 | 2 |
| #13092765 | 2 |
| #13092716 | 2 |
| #13092642 | 2 |
| #13092618 | 2 |
| #13092541 | 2 |
| C4×#67275 | 2 |
| #13092504 | 2 |
| C23×#475 | 2 |
| #3365 | 23 |