Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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. C2×#10625061 | C2 | semidirect |
| 3. #13092726 | C2 | semidirect |
| 4. #13092722 | C2 | semidirect |
| 5. #13092719 | C2 | semidirect |
| 6. #13092715 | C2 | semidirect |
| 7. #13092459 | C2 | semidirect |
| 8. #13092457 | C2 | semidirect |
| 9. #13092440 | C2 | semidirect |
| 178. C23 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625061 | 2 |
| #41×Dic23 | 2 |
| #13092726 | 2 |
| #13092722 | 2 |
| #13092719 | 2 |
| #13092715 | 2 |
| #13092459 | 2 |
| #13092457 | 2 |
| #13092440 | 2 |
| #13092418 | 2 |
| C23×#417 | 2 |
| #3080 | 23 |