Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13092427 | C2 | semidirect |
| 4. #13092425 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C23×#339 | C2 | semidirect |
| 19. #10625046 | C4 | semidirect |
| 40. C2×Dic46 | C2×C4 | semidirect |
| 48. C42×C23 | C2×C4 | semidirect |
| 109. #339 | D23 | semidirect |
| 131. C23 | #1885 | semidirect |
| 164. C42 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625046 | 2 |
| #13092891 | 2 |
| #13092427 | 2 |
| #13092425 | 2 |
| C2×#10625005 | 2 |
| #13092177 | 2 |
| C23×#339 | 2 |
| #1885 | 23 |