Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #20298636 | C2 | semidirect |
| 3. #20298426 | C2 | semidirect |
| 4. #20298424 | C2 | semidirect |
| 5. #20298400 | C2 | semidirect |
| 6. #20298400 | C2 | semidirect |
| 7. C22⋊C16×C113 | C2 | semidirect |
| 70. C113 | #2234 | semidirect |
| 77. C22⋊C16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298834 | 2 |
| #20298636 | 2 |
| #20298426 | 2 |
| #20298424 | 2 |
| #20298400 | 2 |
| C22⋊C16×C113 | 2 |
| #2234 | 113 |