Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
704 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 145 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×#10625113 | C2 | semidirect |
| 3. #13092991 | C2 | semidirect |
| 4. #13092598 | C2 | semidirect |
| 5. #13092593 | C2 | semidirect |
| 6. #13092434 | C2 | semidirect |
| 7. #13092433 | C2 | semidirect |
| 8. #13092399 | C2 | semidirect |
| 9. C2×C23×#137 | C2 | semidirect |
| 11. C22×Q8×C23 | C22 | semidirect |
| 25. C23×#137 | C22 | semidirect |
| 28. C2×M16×C23 | C22 | semidirect |
| 29. #10625118 | C22 | semidirect |
| 31. #10625115 | C22 | semidirect |
| 34. #10625113 | C22 | semidirect |
| 37. #10625097 | C22 | semidirect |
| 38. C2×#67267 | C22 | semidirect |
| 39. #10625019 | C22 | semidirect |
| 40. #10625007 | C22 | semidirect |
| 41. #10625006 | C22 | semidirect |
| 42. #10625005 | C22 | semidirect |
| 188. C2×#137 | D23 | semidirect |
| 215. C22×Q8 | C2×D23 | semidirect |
| 219. #137 | C2×D23 | semidirect |
| 225. C2×M16 | C2×D23 | semidirect |
| 235. C23 | #3022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093253 | 2 |
| C2×#10625113 | 2 |
| #13092991 | 2 |
| #13092598 | 2 |
| #13092593 | 2 |
| #13092434 | 2 |
| #13092433 | 2 |
| #13092399 | 2 |
| C2×C23×#137 | 2 |
| #3022 | 23 |