Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. C4×Q8×D113 | C2 | semidirect |
| 3. #20298913 | C2 | semidirect |
| 4. #20298890 | C2 | semidirect |
| 5. #20298799 | C2 | semidirect |
| 6. #20298798 | C2 | semidirect |
| 7. #20298738 | C2 | semidirect |
| 8. #20298701 | C2 | semidirect |
| 9. #20298697 | C2 | semidirect |
| 10. #20298654 | C2 | semidirect |
| 11. #477×C113 | C2 | semidirect |
| 87. Q8×C113 | #41 | semidirect |
| 113. Dic226 | #41 | semidirect |
| 141. C113 | #3112 | semidirect |
| 146. #477 | D113 | semidirect |
| 231. Q8 | #14268648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299149 | 2 |
| C4×Q8×D113 | 2 |
| #20298913 | 2 |
| #20298890 | 2 |
| #20298799 | 2 |
| #20298798 | 2 |
| #20298738 | 2 |
| #20298701 | 2 |
| #20298697 | 2 |
| #20298654 | 2 |
| #477×C113 | 2 |
| #3112 | 113 |