Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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. #20299002 | C2 | semidirect |
| 3. #20298976 | C2 | semidirect |
| 4. #20298947 | C2 | semidirect |
| 7. Q16×Dic113 | C2 | semidirect |
| 8. #20298692 | C2 | semidirect |
| 9. #20298690 | C2 | semidirect |
| 83. C2×Dic113 | Q16 | semidirect |
| 115. C113 | #3170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299150 | 2 |
| #20299002 | 2 |
| #20298976 | 2 |
| #20298947 | 2 |
| #20298839 | 2 |
| #20298837 | 2 |
| Q16×Dic113 | 2 |
| #20298692 | 2 |
| #20298690 | 2 |
| C2×C8×Dic113 | 2 |
| #467×C113 | 2 |
| #3170 | 113 |