Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 348 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. #13092774 | C2 | semidirect |
| 4. #13092714 | C2 | semidirect |
| 5. #13092699 | C2 | semidirect |
| 6. #13092639 | C2 | semidirect |
| 8. Q8×C23⋊C8 | C2 | semidirect |
| 9. C4×#67275 | C2 | semidirect |
| 10. C4×#67274 | C2 | semidirect |
| 11. C23×#557 | C2 | semidirect |
| 115. #557 | 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 |
| #13092774 | 2 |
| #13092765 | 2 |
| #13092714 | 2 |
| #13092699 | 2 |
| #13092639 | 2 |
| #13092617 | 2 |
| Q8×C23⋊C8 | 2 |
| C4×#67275 | 2 |
| C4×#67274 | 2 |
| C23×#557 | 2 |
| #3365 | 23 |