Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#16813628 | C2 | semidirect |
| 2. #20299165 | C2 | semidirect |
| 3. #20298848 | C2 | semidirect |
| 4. #20298831 | C2 | semidirect |
| 5. #20298636 | C2 | semidirect |
| 6. #20298603 | C2 | semidirect |
| 7. C22×D8×C113 | C2 | semidirect |
| 11. C2×#14268630 | C22 | semidirect |
| 12. C2×C8×D113 | C22 | semidirect |
| 15. #16813593 | C22 | semidirect |
| 18. #16813556 | C22 | semidirect |
| 19. #16813554 | C22 | semidirect |
| 20. #16813543 | C22 | semidirect |
| 49. C2×C8×C113 | D4 | semidirect |
| 94. C113 | #3058 | semidirect |
| 95. C22×D8 | D113 | semidirect |
| 139. C2×C8 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813628 | 2 |
| #20299165 | 2 |
| #20298848 | 2 |
| #20298831 | 2 |
| #20298636 | 2 |
| #20298603 | 2 |
| C22×D8×C113 | 2 |
| #3058 | 113 |