Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
382 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #20299327 | C2 | semidirect |
| 3. #20298961 | C2 | semidirect |
| 4. #20298944 | C2 | semidirect |
| 5. #20298896 | C2 | semidirect |
| 6. #20298879 | C2 | semidirect |
| 7. #20298796 | C2 | semidirect |
| 8. #20298725 | C2 | semidirect |
| 9. #20298699 | C2 | semidirect |
| 10. C4×#14268634 | C2 | semidirect |
| 11. #460×C113 | C2 | semidirect |
| 77. Q8×C113 | #41 | semidirect |
| 125. C113 | #3368 | semidirect |
| 133. #460 | D113 | semidirect |
| 204. Q8 | #14268646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299327 | 2 |
| #20299268 | 2 |
| #20298961 | 2 |
| #20298944 | 2 |
| #20298896 | 2 |
| #20298879 | 2 |
| #20298796 | 2 |
| #20298725 | 2 |
| #20298699 | 2 |
| C4×#14268634 | 2 |
| #460×C113 | 2 |
| #3368 | 113 |