Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#67292 | C2 | semidirect |
| 2. C2×#10625113 | C2 | semidirect |
| 3. C2×#10625079 | C2 | semidirect |
| 4. #13092929 | C2 | semidirect |
| 5. #13092582 | C2 | semidirect |
| 6. #13092565 | C2 | semidirect |
| 7. #13092421 | C2 | semidirect |
| 8. #13092380 | C2 | semidirect |
| 9. C23×#419 | C2 | semidirect |
| 22. C2×#67275 | C22 | semidirect |
| 24. C2×#67274 | C22 | semidirect |
| 27. C2×D184 | C22 | semidirect |
| 28. C2×#67263 | C22 | semidirect |
| 29. #10625068 | C22 | semidirect |
| 30. #10625066 | C22 | semidirect |
| 34. C23×#103 | C22 | semidirect |
| 35. (C2×D23)⋊C8 | C22 | semidirect |
| 36. #10624991 | C22 | semidirect |
| 41. C2×Q8×C23 | D4 | semidirect |
| 57. C2×D92 | D4 | semidirect |
| 146. #419 | D23 | semidirect |
| 179. #103 | C2×D23 | semidirect |
| 182. C23 | #3005 | semidirect |
| 193. C2×Q8 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67292 | 2 |
| C2×#10625113 | 2 |
| C2×#10625079 | 2 |
| #13092929 | 2 |
| #13092582 | 2 |
| #13092565 | 2 |
| #13092421 | 2 |
| #13092380 | 2 |
| C23×#419 | 2 |
| #3005 | 23 |