Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
284 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 284 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 |
|---|---|---|
| 3. #20298553 | C2 | semidirect |
| 4. #20298369 | C2 | semidirect |
| 8. #16813541 | C4 | semidirect |
| 9. #16813539 | C4 | semidirect |
| 16. C2×M16×C113 | C4 | semidirect |
| 18. C22×C8×C113 | C4 | semidirect |
| 75. C113 | #1757 | semidirect |
| 85. C2×M16 | Dic113 | semidirect |
| 87. C22×C8 | Dic113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298582 | 2 |
| #20298572 | 2 |
| #20298553 | 2 |
| #20298369 | 2 |
| C2×#131×C113 | 2 |
| #1757 | 113 |