Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20299226 | C2 | semidirect |
| 3. #20298901 | C2 | semidirect |
| 4. #20298897 | C2 | semidirect |
| 5. #20298887 | C2 | semidirect |
| 6. #20298877 | C2 | semidirect |
| 7. #20298641 | C2 | semidirect |
| 8. #20298624 | C2 | semidirect |
| 11. #427×C113 | C2 | semidirect |
| 15. #16813621 | C22 | semidirect |
| 17. #16813613 | C22 | semidirect |
| 26. #16813555 | C22 | semidirect |
| 27. #16813553 | C22 | semidirect |
| 28. #16813551 | C22 | semidirect |
| 29. #16813551 | C22 | semidirect |
| 37. #107×C113 | C22 | semidirect |
| 38. #107×C113 | C22 | semidirect |
| 39. #106×C113 | C22 | semidirect |
| 40. #106×C113 | C22 | semidirect |
| 45. C2×D452 | Q8 | semidirect |
| 125. C113 | #3081 | semidirect |
| 133. #427 | D113 | semidirect |
| 155. #107 | C2×D113 | semidirect |
| 156. #107 | C2×D113 | semidirect |
| 158. #106 | C2×D113 | semidirect |
| 159. #106 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299226 | 2 |
| #20299072 | 2 |
| #20298901 | 2 |
| #20298897 | 2 |
| #20298887 | 2 |
| #20298877 | 2 |
| #20298641 | 2 |
| #20298624 | 2 |
| #20298602 | 2 |
| C2×#16813544 | 2 |
| #427×C113 | 2 |
| #3081 | 113 |