Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
476 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13093218 | C2 | semidirect |
| 2. #13092684 | C2 | semidirect |
| 3. #13092584 | C2 | semidirect |
| 4. #13092535 | C2 | semidirect |
| 5. C23×#493 | C2 | semidirect |
| 6. #10625155 | C22 | semidirect |
| 7. C2×D8×C23 | C22 | semidirect |
| 8. C23×#127 | C22 | semidirect |
| 9. #10625103 | C22 | semidirect |
| 14. #10625072 | C22 | semidirect |
| 15. C4×C8×C23 | C22 | semidirect |
| 16. #10625015 | C22 | semidirect |
| 17. #10625001 | C22 | semidirect |
| 18. #10624987 | C22 | semidirect |
| 32. Dic92 | D4 | semidirect |
| 33. D184 | D4 | semidirect |
| 34. #67263 | D4 | semidirect |
| 62. #493 | D23 | semidirect |
| 76. C2×D8 | C2×D23 | semidirect |
| 78. #127 | C2×D23 | semidirect |
| 82. C4×C8 | C2×D23 | semidirect |
| 83. C23 | #3292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093218 | 2 |
| #13092684 | 2 |
| #13092584 | 2 |
| #13092535 | 2 |
| C23×#493 | 2 |
| #3292 | 23 |