Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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×C42×C23 | C2 | semidirect |
| 3. #10625100 | C2 | semidirect |
| 4. C4×C22⋊D23 | C2 | semidirect |
| 5. #10625095 | C2 | semidirect |
| 6. #10625047 | C2 | semidirect |
| 7. #10625046 | C2 | semidirect |
| 8. C4×D92 | C2 | semidirect |
| 9. #10625043 | C2 | semidirect |
| 10. #10625041 | C2 | semidirect |
| 11. C4×Dic46 | C2 | semidirect |
| 85. C2×C42 | D23 | semidirect |
| 86. C23 | #529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×C23 | 2 |
| #10625101 | 2 |
| #10625100 | 2 |
| C4×C22⋊D23 | 2 |
| #10625095 | 2 |
| #10625047 | 2 |
| #10625046 | 2 |
| C4×D92 | 2 |
| #10625043 | 2 |
| #10625041 | 2 |
| C4×Dic46 | 2 |
| #529 | 23 |