Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
480 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#10625059 | C2 | semidirect |
| 3. #13092705 | C2 | direct (N × H) |
| 4. C2×#10624999 | C2 | semidirect |
| 5. C2×#10624990 | C2 | semidirect |
| 6. C2×Dic23⋊C8 | C2 | semidirect |
| 23. #10625059 | C22 | semidirect |
| 26. #10624999 | C22 | semidirect |
| 27. Dic23⋊C8 | C22 | semidirect |
| 28. #10624990 | C22 | semidirect |
| 32. C2×D4×C23 | Q8 | semidirect |
| 65. D4×C23 | C2×Q8 | semidirect |
| 110. C2×C23 | #476 | semidirect |
| 134. C23 | C2×#476 | semidirect |
| 140. C2×D4 | Dic46 | semidirect |
| 172. D4 | C2×Dic46 | semidirect |
| 207. C2 | #13092705 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625059 | 2 |
| C2×D4×Dic23 | 2 |
| #13092705 | 2 |
| C2×#10624999 | 2 |
| C2×#10624990 | 2 |
| C2×Dic23⋊C8 | 2 |
| C2×#10625014 | 2 |
| C2×C23×#102 | 2 |
| C2×#476 | 23 |