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. #20298960 | C2 | semidirect |
| 4. #20298958 | C2 | semidirect |
| 5. #20298957 | C2 | semidirect |
| 6. #20298947 | C2 | semidirect |
| 7. #20298943 | C2 | semidirect |
| 8. #20298598 | C2 | semidirect |
| 9. #20298596 | C2 | semidirect |
| 10. #20298550 | C2 | semidirect |
| 11. #489×C113 | C2 | semidirect |
| 141. C113 | #3141 | semidirect |
| 147. #489 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299147 | 2 |
| C4⋊Q8×D113 | 2 |
| #20298960 | 2 |
| #20298958 | 2 |
| #20298957 | 2 |
| #20298947 | 2 |
| #20298943 | 2 |
| #20298598 | 2 |
| #20298596 | 2 |
| #20298550 | 2 |
| #489×C113 | 2 |
| #3141 | 113 |