Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13093045 | C2 | semidirect |
| 3. #13092718 | C2 | semidirect |
| 4. #13092718 | C2 | semidirect |
| 5. #13092708 | C2 | semidirect |
| 6. #13092698 | C2 | semidirect |
| 7. #13092459 | C2 | semidirect |
| 8. #13092455 | C2 | semidirect |
| 11. C23×#424 | C2 | semidirect |
| 27. #10625041 | C22 | semidirect |
| 28. #10625040 | C22 | semidirect |
| 29. C23×C4⋊C8 | C22 | semidirect |
| 30. C23×C4⋊C8 | C22 | semidirect |
| 35. #10625000 | C22 | semidirect |
| 36. #10625000 | C22 | semidirect |
| 37. #10625000 | C22 | semidirect |
| 38. #10624999 | C22 | semidirect |
| 39. #10624999 | C22 | semidirect |
| 40. #10624999 | C22 | semidirect |
| 46. C2×D92 | Q8 | semidirect |
| 128. #424 | D23 | semidirect |
| 159. C4⋊C8 | C2×D23 | semidirect |
| 160. C4⋊C8 | C2×D23 | semidirect |
| 165. C23 | #3081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093045 | 2 |
| #13092891 | 2 |
| #13092718 | 2 |
| #13092708 | 2 |
| #13092698 | 2 |
| #13092459 | 2 |
| #13092455 | 2 |
| #13092423 | 2 |
| C2×#10625003 | 2 |
| C23×#424 | 2 |
| #3081 | 23 |