Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
130 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 130 conjugacy classes of subgroups — too many to draw. Only its 43 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×SD16×C23 | C2 | semidirect |
| 2. #10625118 | C2 | semidirect |
| 3. C2×#67275 | C2 | semidirect |
| 4. #10625107 | C2 | semidirect |
| 6. C2×#67263 | C2 | semidirect |
| 7. C8×Dic23 | C2 | semidirect |
| 54. C2×SD16 | D23 | semidirect |
| 59. C23 | #495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×SD16×C23 | 2 |
| #10625118 | 2 |
| C2×#67275 | 2 |
| #10625107 | 2 |
| C2×#67272 | 2 |
| C2×#67263 | 2 |
| C8×Dic23 | 2 |
| #495 | 23 |