Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 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. C2×Q8×Dic113 | C2 | semidirect |
| 3. #20298934 | C2 | semidirect |
| 5. #20298907 | C2 | semidirect |
| 6. #20298818 | C2 | semidirect |
| 7. #20298754 | C2 | semidirect |
| 8. #20298702 | C2 | semidirect |
| 9. #20298699 | C2 | semidirect |
| 10. #20298652 | C2 | semidirect |
| 132. C113 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299129 | 2 |
| C2×Q8×Dic113 | 2 |
| #20298934 | 2 |
| #20298914 | 2 |
| #20298907 | 2 |
| #20298818 | 2 |
| #20298754 | 2 |
| #20298702 | 2 |
| #20298699 | 2 |
| #20298652 | 2 |
| #448×C113 | 2 |
| #3117 | 113 |