Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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×#41×C23 | C2 | semidirect |
| 2. C2×#67288 | C2 | semidirect |
| 3. #10625122 | C2 | semidirect |
| 4. #10625121 | C2 | semidirect |
| 5. #10625120 | C2 | semidirect |
| 6. #10625113 | C2 | semidirect |
| 7. #10625103 | C2 | semidirect |
| 8. C2×#67267 | C2 | semidirect |
| 12. #41×C23 | C22 | semidirect |
| 13. C2×Q8×C23 | C22 | semidirect |
| 15. C2×D4×C23 | C22 | semidirect |
| 22. #67288 | C22 | semidirect |
| 23. C2×D92 | C22 | semidirect |
| 25. C2×Dic46 | C22 | semidirect |
| 26. #67275 | C22 | semidirect |
| 27. #67274 | C22 | semidirect |
| 28. #67273 | C22 | semidirect |
| 29. #67272 | C22 | semidirect |
| 30. #67267 | C22 | semidirect |
| 31. #67267 | C22 | semidirect |
| 32. C2×C23⋊C8 | C22 | semidirect |
| 83. C2×#41 | D23 | semidirect |
| 90. C23 | #575 | semidirect |
| 98. #41 | C2×D23 | semidirect |
| 100. C2×Q8 | C2×D23 | semidirect |
| 104. C2×D4 | C2×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#41×C23 | 2 |
| C2×#67288 | 2 |
| #10625122 | 2 |
| #10625121 | 2 |
| #10625120 | 2 |
| #10625113 | 2 |
| #10625103 | 2 |
| C2×#67267 | 2 |
| #575 | 23 |