Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
880 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 229 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. C2×#16813579 | C2 | semidirect |
| 3. C2×C4⋊C4×D113 | C2 | semidirect |
| 4. #20298504 | C2 | semidirect |
| 5. #20298503 | C2 | semidirect |
| 6. #20298501 | C2 | semidirect |
| 7. #20298474 | C2 | semidirect |
| 8. #20298456 | C2 | semidirect |
| 9. #390×C113 | C2 | semidirect |
| 12. C2×#14268646 | C4 | semidirect |
| 36. C2×Dic226 | C2×C4 | semidirect |
| 42. C22×Dic113 | C2×C4 | semidirect |
| 61. C2×D4×C113 | C2×C4 | semidirect |
| 102. C4×D113 | C22⋊C4 | semidirect |
| 134. C113 | #2311 | semidirect |
| 141. #390 | D113 | semidirect |
| 177. C2×D4 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268646 | 2 |
| C2×#16813579 | 2 |
| C2×C4⋊C4×D113 | 2 |
| #20298504 | 2 |
| #20298503 | 2 |
| #20298501 | 2 |
| #20298474 | 2 |
| #20298456 | 2 |
| #390×C113 | 2 |
| #2311 | 113 |