Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
302 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 89 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. #20298638 | C2 | semidirect |
| 4. #20298467 | C2 | semidirect |
| 5. #20298366 | C2 | semidirect |
| 6. #20298359 | C2 | semidirect |
| 20. #16813549 | C4 | semidirect |
| 30. #14268631 | C2×C4 | semidirect |
| 43. C4×Dic113 | C2×C4 | semidirect |
| 62. Q8×C113 | C4⋊C4 | semidirect |
| 66. D4×C113 | C4⋊C4 | semidirect |
| 113. C113 | #1859 | semidirect |
| 175. Q8 | #14268626 | semidirect |
| 179. D4 | #14268626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299081 | 2 |
| #20298638 | 2 |
| C2×#16813549 | 2 |
| #20298467 | 2 |
| #20298366 | 2 |
| #20298359 | 2 |
| #417×C113 | 2 |
| #1859 | 113 |