Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #13092761 | C2 | semidirect |
| 4. #13092757 | C2 | semidirect |
| 5. #13092753 | C2 | semidirect |
| 6. #13092750 | C2 | semidirect |
| 7. #13092747 | C2 | semidirect |
| 8. #13092456 | C2 | semidirect |
| 9. #13092424 | C2 | semidirect |
| 11. C23×#483 | C2 | semidirect |
| 32. C23×#106 | C22 | semidirect |
| 33. C23×#103 | C22 | semidirect |
| 35. #10625017 | C22 | semidirect |
| 38. #10625000 | C22 | semidirect |
| 39. #10624998 | C22 | semidirect |
| 40. #10624992 | C22 | semidirect |
| 41. #10624990 | C22 | semidirect |
| 42. #10624989 | C22 | semidirect |
| 141. #483 | D23 | semidirect |
| 174. #106 | C2×D23 | semidirect |
| 178. #103 | C2×D23 | semidirect |
| 182. C23 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22⋊Q8×D23 | 2 |
| C2×#10625063 | 2 |
| #13092761 | 2 |
| #13092757 | 2 |
| #13092753 | 2 |
| #13092750 | 2 |
| #13092747 | 2 |
| #13092456 | 2 |
| #13092424 | 2 |
| #13092379 | 2 |
| C23×#483 | 2 |
| #3095 | 23 |