Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. C22×C4⋊Dic113 | C2 | semidirect |
| 3. #20298934 | C2 | semidirect |
| 4. #20298929 | C2 | semidirect |
| 5. #20298917 | C2 | semidirect |
| 6. #20298912 | C2 | semidirect |
| 7. #20298640 | C2 | semidirect |
| 8. #20298600 | C2 | semidirect |
| 9. #407×C113 | C2 | semidirect |
| 27. #16813556 | C22 | semidirect |
| 28. #16813554 | C22 | semidirect |
| 29. #16813547 | C22 | semidirect |
| 30. #16813544 | C22 | semidirect |
| 131. C113 | #3092 | semidirect |
| 140. #407 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299109 | 2 |
| C22×C4⋊Dic113 | 2 |
| #20298934 | 2 |
| #20298929 | 2 |
| #20298917 | 2 |
| #20298912 | 2 |
| #20298640 | 2 |
| #20298600 | 2 |
| #407×C113 | 2 |
| #3092 | 113 |