Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
520 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 185 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. C2×#10625078 | C2 | semidirect |
| 2. C22×C8×D23 | C2 | semidirect |
| 4. #13092487 | C2 | semidirect |
| 5. #13092482 | C2 | semidirect |
| 6. #13092383 | C2 | semidirect |
| 7. #13092380 | C2 | semidirect |
| 8. #13092373 | C2 | semidirect |
| 9. C23×#424 | C2 | semidirect |
| 18. C2×#67262 | C22 | semidirect |
| 22. C2×C8×D23 | C22 | semidirect |
| 28. C23×C4⋊C8 | C22 | semidirect |
| 30. (C2×D23)⋊C8 | C22 | semidirect |
| 31. #10624985 | C22 | semidirect |
| 32. C4×C23⋊C8 | C22 | semidirect |
| 58. C2×C23⋊C8 | D4 | semidirect |
| 102. C2×D23 | #131 | semidirect |
| 114. #424 | D23 | semidirect |
| 141. C4⋊C8 | C2×D23 | semidirect |
| 146. C23 | #2929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625078 | 2 |
| C22×C8×D23 | 2 |
| #13092929 | 2 |
| #13092487 | 2 |
| #13092482 | 2 |
| #13092383 | 2 |
| #13092380 | 2 |
| #13092373 | 2 |
| C23×#424 | 2 |
| #2929 | 23 |