Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
188 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 47 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. #10625095 | C2 | semidirect |
| 3. C2×#67263 | C2 | semidirect |
| 4. C23×C22⋊C8 | C2 | semidirect |
| 5. #10625003 | C2 | semidirect |
| 11. C2×Dic46 | C22 | semidirect |
| 12. C2×C8×C23 | C22 | semidirect |
| 14. C4⋊Dic23 | C22 | semidirect |
| 34. C22×C23 | SD16 | semidirect |
| 54. C22⋊C8 | D23 | semidirect |
| 55. C23 | #450 | semidirect |
| 63. C2×C8 | C2×D23 | semidirect |
| 88. C22 | #67263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D92 | 2 |
| #10625095 | 2 |
| C2×#67263 | 2 |
| C23×C22⋊C8 | 2 |
| #10625003 | 2 |
| #450 | 23 |