Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
292 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #13092375 | C2 | semidirect |
| 5. C2×#10624997 | C2 | semidirect |
| 6. #13092178 | C2 | semidirect |
| 7. C23×#341 | C2 | semidirect |
| 16. #10625078 | C4 | semidirect |
| 19. #10625007 | C4 | semidirect |
| 20. #10625003 | C4 | semidirect |
| 21. #10624998 | C4 | semidirect |
| 99. #341 | D23 | semidirect |
| 123. C23 | #1765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625078 | 2 |
| C2×#10625007 | 2 |
| #13092414 | 2 |
| #13092375 | 2 |
| C2×#10624997 | 2 |
| #13092178 | 2 |
| C23×#341 | 2 |
| #1765 | 23 |