Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 4. #20298809 | C2 | semidirect |
| 5. #20298807 | C2 | semidirect |
| 6. #20298805 | C2 | semidirect |
| 7. #20298803 | C2 | semidirect |
| 8. #20298801 | C2 | semidirect |
| 9. #20298620 | C2 | semidirect |
| 10. #20298605 | C2 | semidirect |
| 11. #461×C113 | C2 | semidirect |
| 131. C4×C113 | #137 | semidirect |
| 139. Dic113 | #137 | semidirect |
| 146. C113 | #3039 | semidirect |
| 155. #461 | D113 | semidirect |
| 283. C4 | #16813651 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813651 | 2 |
| C4⋊Q8×D113 | 2 |
| C4×#14268646 | 2 |
| #20298809 | 2 |
| #20298807 | 2 |
| #20298805 | 2 |
| #20298803 | 2 |
| #20298801 | 2 |
| #20298620 | 2 |
| #20298605 | 2 |
| #461×C113 | 2 |
| #3039 | 113 |