Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
608 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 197 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×#10625064 | C2 | semidirect |
| 3. #13092528 | C2 | direct (N × H) |
| 4. C2×#10624991 | C2 | semidirect |
| 5. C2×#10624997 | C2 | semidirect |
| 6. C2×C23×#106 | C2 | semidirect |
| 14. C2×D184 | C4 | semidirect |
| 17. #10625064 | C22 | semidirect |
| 18. C23×#106 | C22 | semidirect |
| 19. #10624997 | C22 | semidirect |
| 20. #10624991 | C22 | semidirect |
| 27. C2×D92 | C2×C4 | semidirect |
| 31. C2×C8×C23 | C2×C4 | semidirect |
| 40. D184 | C2×C4 | semidirect |
| 56. D92 | C22×C4 | semidirect |
| 58. C8×C23 | C22×C4 | semidirect |
| 76. C2×#106 | D23 | semidirect |
| 79. C2×C23 | #442 | semidirect |
| 94. #106 | C2×D23 | semidirect |
| 97. C23 | C2×#442 | semidirect |
| 111. C2×C8 | C4×D23 | semidirect |
| 136. C8 | C2×C4×D23 | semidirect |
| 150. C2 | #13092528 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D184 | 2 |
| C2×#10625064 | 2 |
| #13092528 | 2 |
| C2×#10624991 | 2 |
| C2×#10624997 | 2 |
| C2×C23×#106 | 2 |
| C2×#442 | 23 |