Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
208 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20298970 | C2 | semidirect |
| 3. #20298948 | C2 | semidirect |
| 4. #20298946 | C2 | semidirect |
| 5. #20298945 | C2 | semidirect |
| 6. #20298319 | C2 | semidirect |
| 7. #486×C113 | C2 | semidirect |
| 75. C113 | #1717 | semidirect |
| 81. #486 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298974 | 2 |
| #20298970 | 2 |
| #20298948 | 2 |
| #20298946 | 2 |
| #20298945 | 2 |
| #20298319 | 2 |
| #486×C113 | 2 |
| #1717 | 113 |