Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. #13093215 | C2 | semidirect |
| 2. C2×#10625079 | C2 | semidirect |
| 3. C2×#10625120 | C2 | semidirect |
| 4. #13093183 | C2 | semidirect |
| 5. #13092686 | C2 | semidirect |
| 6. #13092683 | C2 | semidirect |
| 7. #13092465 | C2 | semidirect |
| 8. C2×#10625005 | C2 | semidirect |
| 9. C23×#413 | C2 | semidirect |
| 20. #10625113 | C22 | semidirect |
| 21. C2×#67274 | C22 | semidirect |
| 22. #10625103 | C22 | semidirect |
| 23. C2×#67272 | C22 | semidirect |
| 28. #10625078 | C22 | semidirect |
| 33. C23×#101 | C22 | semidirect |
| 34. C23×#100 | C22 | semidirect |
| 35. #10625005 | C22 | semidirect |
| 36. #10625004 | C22 | semidirect |
| 148. #413 | D23 | semidirect |
| 181. #101 | C2×D23 | semidirect |
| 183. #100 | C2×D23 | semidirect |
| 184. C23 | #3068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093215 | 2 |
| C2×#10625079 | 2 |
| C2×#10625120 | 2 |
| #13093183 | 2 |
| #13092686 | 2 |
| #13092683 | 2 |
| #13092465 | 2 |
| C2×#10625005 | 2 |
| C23×#413 | 2 |
| #3068 | 23 |