Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
596 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 181 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. #20298498 | C2 | semidirect |
| 3. #20298489 | C2 | semidirect |
| 4. #20298481 | C2 | semidirect |
| 5. #20298476 | C2 | semidirect |
| 6. #20298474 | C2 | semidirect |
| 7. #20298461 | C2 | semidirect |
| 8. C4×#14268624 | C2 | semidirect |
| 9. C4×C22⋊C4×C113 | C2 | semidirect |
| 13. #16813596 | C4 | semidirect |
| 38. C2×C22⋊D113 | C2×C4 | semidirect |
| 45. C4⋊Dic113 | C2×C4 | semidirect |
| 52. #14268624 | C2×C4 | semidirect |
| 57. C22×C4×C113 | C2×C4 | semidirect |
| 135. C113 | #2333 | semidirect |
| 144. C4×C22⋊C4 | D113 | semidirect |
| 183. C22×C4 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813596 | 2 |
| #20298498 | 2 |
| #20298489 | 2 |
| #20298481 | 2 |
| #20298476 | 2 |
| #20298474 | 2 |
| #20298461 | 2 |
| C4×#14268624 | 2 |
| C4×C22⋊C4×C113 | 2 |
| #2333 | 113 |