Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
122 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 55 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. C4×Dic46 | C2 | semidirect |
| 5. #10624992 | C2 | semidirect |
| 6. #10624990 | C2 | semidirect |
| 7. C4×C23⋊C8 | C2 | semidirect |
| 14. #67273 | C4 | direct (N × H) |
| 31. Dic46 | C2×C4 | semidirect |
| 33. C23⋊C8 | C2×C4 | semidirect |
| 40. C4×C23 | SD16 | semidirect |
| 57. C23 | C4×SD16 | semidirect |
| 92. C4 | #67273 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D4×C23 | 2 |
| C2×#67273 | 2 |
| C4×Dic46 | 2 |
| #10625014 | 2 |
| #10624992 | 2 |
| #10624990 | 2 |
| C4×C23⋊C8 | 2 |
| C4×SD16 | 23 |