Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
282 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
| 5. #13092185 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C23×#339 | C2 | semidirect |
| 34. C2×D92 | Q8 | semidirect |
| 113. #339 | D23 | semidirect |
| 137. C23 | #2027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093045 | 2 |
| #13092423 | 2 |
| #13092421 | 2 |
| #13092319 | 2 |
| #13092185 | 2 |
| #13092177 | 2 |
| C23×#339 | 2 |
| #2027 | 23 |