Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
270 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#10625001 | C2 | semidirect |
| 3. #13092443 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C23×#336 | C2 | semidirect |
| 19. #10625003 | C4 | semidirect |
| 20. #10625003 | C4 | semidirect |
| 22. #10624998 | C4 | semidirect |
| 23. #10624998 | C4 | semidirect |
| 110. #336 | D23 | semidirect |
| 136. C23 | #1866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625072 | 2 |
| C2×#10625001 | 2 |
| #13092443 | 2 |
| C2×#10624987 | 2 |
| #13092414 | 2 |
| #13092177 | 2 |
| C23×#336 | 2 |
| #1866 | 23 |