Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#10625120 | C2 | semidirect |
| 2. C2×#10625072 | C2 | semidirect |
| 3. #13092995 | C2 | semidirect |
| 4. #13092986 | C2 | semidirect |
| 5. #13092669 | C2 | semidirect |
| 6. #13092666 | C2 | semidirect |
| 7. #13092652 | C2 | semidirect |
| 8. #13092649 | C2 | semidirect |
| 9. #13092460 | C2 | semidirect |
| 10. C2×#10625003 | C2 | semidirect |
| 11. C23×#416 | C2 | semidirect |
| 18. #10625117 | C22 | semidirect |
| 21. #10625109 | C22 | semidirect |
| 28. C2×#67262 | C22 | semidirect |
| 29. C2×C8×D23 | C22 | semidirect |
| 35. C23×#103 | C22 | semidirect |
| 36. C23×#103 | C22 | semidirect |
| 37. C23×#102 | C22 | semidirect |
| 38. C23×#102 | C22 | semidirect |
| 41. #10624990 | C22 | semidirect |
| 42. #10624989 | C22 | semidirect |
| 81. #67267 | D4 | semidirect |
| 154. #416 | D23 | semidirect |
| 188. #103 | C2×D23 | semidirect |
| 189. #103 | C2×D23 | semidirect |
| 192. #102 | C2×D23 | semidirect |
| 193. #102 | C2×D23 | semidirect |
| 194. C23 | #3062 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625120 | 2 |
| C2×#10625072 | 2 |
| #13092995 | 2 |
| #13092986 | 2 |
| #13092669 | 2 |
| #13092666 | 2 |
| #13092652 | 2 |
| #13092649 | 2 |
| #13092460 | 2 |
| C2×#10625003 | 2 |
| C23×#416 | 2 |
| #3062 | 23 |