Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
296 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 2. #13092444 | C2 | semidirect |
| 3. #13092421 | C2 | semidirect |
| 4. C2×#10625015 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092181 | C2 | semidirect |
| 7. C23×#418 | C2 | semidirect |
| 103. #418 | D23 | semidirect |
| 128. C23 | #2045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67272 | 2 |
| #13092444 | 2 |
| #13092421 | 2 |
| C2×#10625015 | 2 |
| C2×#10625005 | 2 |
| #13092181 | 2 |
| C23×#418 | 2 |
| #2045 | 23 |