Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 137 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. #13092759 | C2 | semidirect |
| 4. #13092753 | C2 | semidirect |
| 5. #13092748 | C2 | semidirect |
| 6. #13092459 | C2 | semidirect |
| 7. #13092427 | C2 | semidirect |
| 29. #10625000 | C22 | semidirect |
| 30. #10624999 | C22 | semidirect |
| 31. #10624998 | C22 | semidirect |
| 32. #10624998 | C22 | semidirect |
| 149. C23 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625095 | 2 |
| C2×#10625097 | 2 |
| #13092759 | 2 |
| #13092753 | 2 |
| #13092748 | 2 |
| #13092459 | 2 |
| #13092427 | 2 |
| C23×#407 | 2 |
| #3095 | 23 |