Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 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×#67290 | C2 | semidirect |
| 2. C2×D8×C23 | C2 | semidirect |
| 3. #10625109 | C2 | semidirect |
| 4. C2×#67273 | C2 | semidirect |
| 5. #10625014 | C2 | semidirect |
| 6. (C2×D23)⋊C8 | C2 | semidirect |
| 7. #10624998 | C2 | semidirect |
| 29. D4×C23 | D4 | semidirect |
| 40. Dic46 | D4 | semidirect |
| 67. C2×D8 | D23 | semidirect |
| 72. C23 | #449 | semidirect |
| 98. D4 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#67290 | 2 |
| C2×D8×C23 | 2 |
| #10625109 | 2 |
| C2×#67273 | 2 |
| #10625014 | 2 |
| (C2×D23)⋊C8 | 2 |
| #10624998 | 2 |
| #449 | 23 |