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×#10625103 | C2 | semidirect |
| 2. C2×#10625072 | C2 | semidirect |
| 3. #13092998 | C2 | semidirect |
| 4. #13092984 | C2 | semidirect |
| 5. #13092669 | C2 | semidirect |
| 6. #13092662 | C2 | semidirect |
| 7. #13092652 | C2 | semidirect |
| 8. #13092645 | C2 | semidirect |
| 9. #13092457 | C2 | semidirect |
| 10. #13092414 | C2 | semidirect |
| 11. C2×C23×#102 | C2 | semidirect |
| 29. C2×#67262 | C22 | semidirect |
| 30. C2×C8×D23 | C22 | semidirect |
| 32. #10625068 | C22 | semidirect |
| 34. #10625066 | C22 | semidirect |
| 37. #10625003 | C22 | semidirect |
| 38. #10625003 | C22 | semidirect |
| 39. #10624998 | C22 | semidirect |
| 40. #10624998 | C22 | semidirect |
| 41. #10624990 | C22 | semidirect |
| 42. #10624989 | C22 | semidirect |
| 81. #67267 | D4 | semidirect |
| 155. C2×#102 | 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×#10625103 | 2 |
| C2×#10625072 | 2 |
| #13092998 | 2 |
| #13092984 | 2 |
| #13092669 | 2 |
| #13092662 | 2 |
| #13092652 | 2 |
| #13092645 | 2 |
| #13092457 | 2 |
| #13092414 | 2 |
| C2×C23×#102 | 2 |
| #3062 | 23 |