Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
488 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#10625079 | C2 | semidirect |
| 2. C2×#10625103 | C2 | semidirect |
| 3. C22×#67272 | C2 | semidirect |
| 4. C2×#10625078 | C2 | semidirect |
| 5. #13092686 | C2 | direct (N × H) |
| 6. C2×#10625004 | C2 | semidirect |
| 7. C2×#10625005 | C2 | semidirect |
| 8. C2×C23×#100 | C2 | semidirect |
| 16. #10625103 | C22 | semidirect |
| 21. C2×#67272 | C22 | semidirect |
| 25. #10625079 | C22 | semidirect |
| 27. #10625078 | C22 | semidirect |
| 32. C23×#100 | C22 | semidirect |
| 33. #10625005 | C22 | semidirect |
| 34. #10625004 | C22 | semidirect |
| 144. C2×#100 | D23 | semidirect |
| 148. C2×C23 | #472 | semidirect |
| 177. #100 | C2×D23 | semidirect |
| 178. C23 | C2×#472 | semidirect |
| 285. C2 | #13092686 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625079 | 2 |
| C2×#10625103 | 2 |
| C22×#67272 | 2 |
| C2×#10625078 | 2 |
| #13092686 | 2 |
| C2×#10625004 | 2 |
| C2×#10625005 | 2 |
| C2×C23×#100 | 2 |
| C2×#472 | 23 |