Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
370 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13093219 | C2 | semidirect |
| 2. #13092854 | C2 | semidirect |
| 3. #13092852 | C2 | semidirect |
| 4. #13092850 | C2 | semidirect |
| 5. C2×D368 | C2 | semidirect |
| 6. D16×D23 | C2 | semidirect |
| 7. #13092833 | C2 | semidirect |
| 8. C23×#508 | C2 | semidirect |
| 10. C23×#135 | C22 | semidirect |
| 12. #10625090 | C22 | semidirect |
| 14. D8×D23 | C22 | semidirect |
| 15. C2×D184 | C22 | semidirect |
| 17. C23×Q32 | C22 | semidirect |
| 18. C23×SD32 | C22 | semidirect |
| 19. C23×D16 | C22 | semidirect |
| 20. C2×C16×C23 | C22 | semidirect |
| 21. #10625010 | C22 | semidirect |
| 22. #10625008 | C22 | semidirect |
| 23. #10624994 | C22 | semidirect |
| 24. D368 | C22 | semidirect |
| 25. D368 | C22 | semidirect |
| 26. #10624980 | C22 | semidirect |
| 27. C16×D23 | C22 | semidirect |
| 84. #508 | D23 | semidirect |
| 97. #135 | C2×D23 | semidirect |
| 101. Q32 | C2×D23 | semidirect |
| 103. SD32 | C2×D23 | semidirect |
| 107. D16 | C2×D23 | semidirect |
| 111. C2×C16 | C2×D23 | semidirect |
| 112. C23 | #3415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093219 | 2 |
| #13092854 | 2 |
| #13092852 | 2 |
| #13092850 | 2 |
| C2×D368 | 2 |
| D16×D23 | 2 |
| #13092833 | 2 |
| C23×#508 | 2 |
| #3415 | 23 |