Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
1232 conjugacy classes of subgroups; only the 349 normal subgroups are shown.
This group has 1232 conjugacy classes of subgroups — too many to draw. Only its 349 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. C22×#14268626 | C2 | semidirect |
| 4. #20298457 | C2 | direct (N × H) |
| 5. C2×#16813529 | C2 | semidirect |
| 6. C2×#95×C113 | C2 | semidirect |
| 11. C22×C4×D113 | C4 | semidirect |
| 14. C2×#14268626 | C22 | semidirect |
| 17. #16813529 | C22 | semidirect |
| 20. #95×C113 | C22 | semidirect |
| 36. C2×C4×D113 | C2×C4 | semidirect |
| 59. C22×D113 | C4⋊C4 | semidirect |
| 74. C2×Dic113 | C22⋊C4 | semidirect |
| 93. C2×D113 | C2×C4⋊C4 | semidirect |
| 97. Dic113 | C2×C22⋊C4 | semidirect |
| 98. C2×C113 | #380 | semidirect |
| 106. C113 | C2×#380 | semidirect |
| 112. C2×#95 | D113 | semidirect |
| 126. #95 | C2×D113 | semidirect |
| 205. C2 | #20298457 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×D113 | 2 |
| C22×#14268626 | 2 |
| C22×#14268624 | 2 |
| #20298457 | 2 |
| C2×#16813529 | 2 |
| C2×#95×C113 | 2 |
| C2×#380 | 113 |