Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
608 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×D92 | C2 | semidirect |
| 3. #13092527 | C2 | direct (N × H) |
| 4. C2×#10624990 | C2 | semidirect |
| 5. C2×#10625014 | C2 | semidirect |
| 6. C2×#10624991 | C2 | semidirect |
| 7. C2×#10624985 | C2 | semidirect |
| 8. C2×C4×D4×C23 | C2 | semidirect |
| 14. C4×D4×C23 | C22 | semidirect |
| 18. C2×#67272 | C4 | semidirect |
| 25. C4×D92 | C22 | semidirect |
| 26. #10625014 | C22 | semidirect |
| 27. #10624991 | C22 | semidirect |
| 28. #10624990 | C22 | semidirect |
| 29. #10624985 | C22 | semidirect |
| 34. C2×D4×C23 | C2×C4 | semidirect |
| 45. C2×D92 | C2×C4 | semidirect |
| 54. #67272 | C2×C4 | semidirect |
| 59. C2×C23⋊C8 | C2×C4 | semidirect |
| 73. D4×C23 | C22×C4 | semidirect |
| 89. D92 | C22×C4 | semidirect |
| 92. C23⋊C8 | C22×C4 | semidirect |
| 115. C2×C4×D4 | D23 | semidirect |
| 122. C2×C23 | #442 | semidirect |
| 138. C4×D4 | C2×D23 | semidirect |
| 148. C23 | C2×#442 | semidirect |
| 157. C2×D4 | C4×D23 | semidirect |
| 195. D4 | C2×C4×D23 | semidirect |
| 233. C2 | #13092527 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67272 | 2 |
| C2×C4×D92 | 2 |
| #13092527 | 2 |
| C2×#10624990 | 2 |
| C2×#10625014 | 2 |
| C2×#10624991 | 2 |
| C2×#10624985 | 2 |
| C2×C4×D4×C23 | 2 |
| C2×#442 | 23 |