Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
812 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 165 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×#67290 | C2 | semidirect |
| 2. C22×#67273 | C2 | semidirect |
| 3. C2×#10625109 | C2 | semidirect |
| 4. #13092559 | C2 | direct (N × H) |
| 5. C2×#10624998 | C2 | semidirect |
| 6. C2×#10625014 | C2 | semidirect |
| 7. C2×(C2×D23)⋊C8 | C2 | semidirect |
| 8. C22×D8×C23 | C2 | semidirect |
| 17. C2×#67290 | C22 | semidirect |
| 21. C2×D8×C23 | C22 | semidirect |
| 25. #10625109 | C22 | semidirect |
| 27. C2×#67273 | C22 | semidirect |
| 30. #10625014 | C22 | semidirect |
| 31. (C2×D23)⋊C8 | C22 | semidirect |
| 32. #10624998 | C22 | semidirect |
| 41. C2×D4×C23 | D4 | semidirect |
| 63. C2×Dic46 | D4 | semidirect |
| 92. D4×C23 | C2×D4 | semidirect |
| 111. Dic46 | C2×D4 | semidirect |
| 139. C22×D8 | D23 | semidirect |
| 147. C2×C23 | #449 | semidirect |
| 166. C2×D8 | C2×D23 | semidirect |
| 176. C23 | C2×#449 | semidirect |
| 196. C2×D4 | C22⋊D23 | semidirect |
| 241. D4 | C2×C22⋊D23 | semidirect |
| 283. C2 | #13092559 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67290 | 2 |
| C22×#67273 | 2 |
| C2×#10625109 | 2 |
| #13092559 | 2 |
| C2×#10624998 | 2 |
| C2×#10625014 | 2 |
| C2×(C2×D23)⋊C8 | 2 |
| C22×D8×C23 | 2 |
| C2×#449 | 23 |