Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
340 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 340 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 |
|---|---|---|
| 2. #20299003 | C2 | semidirect |
| 3. #20298938 | C2 | semidirect |
| 4. #20298883 | C2 | semidirect |
| 5. #20298836 | C2 | semidirect |
| 7. #20298635 | C2 | semidirect |
| 8. C4×Q16×C113 | C2 | semidirect |
| 83. C113 | #3342 | semidirect |
| 89. C4×Q16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299321 | 2 |
| #20299003 | 2 |
| #20298938 | 2 |
| #20298883 | 2 |
| #20298836 | 2 |
| C8×D452 | 2 |
| #20298635 | 2 |
| C4×Q16×C113 | 2 |
| #3342 | 113 |