Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13092440 | C2 | semidirect |
| 3. C2×#10624987 | C2 | semidirect |
| 4. C2×#10625019 | C2 | semidirect |
| 5. C2×#10625007 | C2 | semidirect |
| 6. C42×Dic23 | C2 | semidirect |
| 7. C2×C23×#104 | C2 | semidirect |
| 12. #10625118 | C4 | semidirect |
| 13. #10625115 | C4 | semidirect |
| 14. #10625111 | C4 | semidirect |
| 16. #10625107 | C4 | semidirect |
| 52. C42×C23 | D4 | semidirect |
| 61. C4×Dic23 | D4 | semidirect |
| 120. Dic23 | #104 | semidirect |
| 126. C2×#104 | D23 | semidirect |
| 153. C23 | #1962 | semidirect |
| 191. C42 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092963 | 2 |
| #13092440 | 2 |
| C2×#10624987 | 2 |
| C2×#10625019 | 2 |
| C2×#10625007 | 2 |
| C42×Dic23 | 2 |
| C2×C23×#104 | 2 |
| #1962 | 23 |