Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
412 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 107 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. C22⋊C4×Dic23 | C2 | semidirect |
| 4. #13092184 | C2 | semidirect |
| 5. C23×#342 | C2 | semidirect |
| 8. C22×C4×D23 | C4 | semidirect |
| 12. C2×(C2×D23)⋊C4 | C4 | semidirect |
| 13. C2×Dic23⋊C4 | C4 | semidirect |
| 15. C2×C4×Dic23 | C4 | semidirect |
| 19. #10624988 | C4 | semidirect |
| 41. C22⋊C4×C23 | C2×C4 | semidirect |
| 43. C22⋊Dic23 | C2×C4 | semidirect |
| 60. C22×D23 | C42 | semidirect |
| 79. C2×Dic23 | C42 | semidirect |
| 110. Dic23 | #99 | semidirect |
| 115. #342 | D23 | semidirect |
| 138. C23 | C4×#99 | semidirect |
| 164. C22⋊C4 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×(C22⋊D23)⋊C4 | 2 |
| C2×#10624988 | 2 |
| C22⋊C4×Dic23 | 2 |
| #13092184 | 2 |
| C23×#342 | 2 |
| C4×#99 | 23 |