Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
438 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 101 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×#16813584 | C2 | semidirect |
| 3. C2×#16813544 | C2 | semidirect |
| 4. #20298501 | C2 | semidirect |
| 5. #20298360 | C2 | semidirect |
| 6. #20298352 | C2 | semidirect |
| 7. C2×#102×C113 | C2 | semidirect |
| 12. C2×#14268632 | C4 | semidirect |
| 42. C2×#11744751 | C2×C4 | semidirect |
| 56. C2×D4×C113 | C2×C4 | semidirect |
| 100. C2×Dic113 | D8 | semidirect |
| 104. D452 | C22⋊C4 | semidirect |
| 147. C113 | #1879 | semidirect |
| 151. C2×#102 | D113 | semidirect |
| 186. 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×#14268632 | 2 |
| C2×#16813584 | 2 |
| C2×#16813544 | 2 |
| #20298501 | 2 |
| #20298360 | 2 |
| #20298352 | 2 |
| C2×#102×C113 | 2 |
| #1879 | 113 |