Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
412 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 145 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. #20298994 | C2 | semidirect |
| 3. #20298972 | C2 | semidirect |
| 4. #20298948 | C2 | semidirect |
| 5. #20298946 | C2 | semidirect |
| 6. #20298829 | C2 | semidirect |
| 7. C4×#14268634 | C2 | semidirect |
| 8. C2×C4×#11744751 | C2 | semidirect |
| 9. #533×C113 | C2 | semidirect |
| 75. C2×C4×C113 | SD16 | semidirect |
| 90. #11744751 | #41 | semidirect |
| 113. C113 | #3167 | semidirect |
| 114. #533 | D113 | semidirect |
| 195. C2×C4 | #14268634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| #20298994 | 2 |
| #20298972 | 2 |
| #20298948 | 2 |
| #20298946 | 2 |
| #20298829 | 2 |
| C4×#14268634 | 2 |
| C2×C4×#11744751 | 2 |
| #533×C113 | 2 |
| #3167 | 113 |