Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
448 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 157 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×#10625061 | C2 | semidirect |
| 3. #13092719 | C2 | direct (N × H) |
| 4. C2×#10624989 | C2 | semidirect |
| 5. C2×#10624999 | C2 | semidirect |
| 6. C2×Dic23⋊C8 | C2 | semidirect |
| 23. #10625061 | C22 | semidirect |
| 26. #10624999 | C22 | semidirect |
| 27. Dic23⋊C8 | C22 | semidirect |
| 28. #10624989 | C22 | semidirect |
| 108. C2×C23 | #478 | semidirect |
| 132. C23 | C2×#478 | semidirect |
| 203. C2 | #13092719 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625061 | 2 |
| C2×D4×Dic23 | 2 |
| #13092719 | 2 |
| C2×#10624989 | 2 |
| C2×#10624999 | 2 |
| C2×Dic23⋊C8 | 2 |
| C2×#10625014 | 2 |
| C2×C23×#102 | 2 |
| C2×#478 | 23 |