Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
452 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 177 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. #20298677 | C2 | semidirect |
| 3. #20298675 | C2 | semidirect |
| 4. #20298651 | C2 | semidirect |
| 5. #20298560 | C2 | semidirect |
| 6. #431×C113 | C2 | semidirect |
| 9. C2×#14268630 | C22 | semidirect |
| 16. C4⋊#11744751 | C22 | semidirect |
| 18. #16813534 | C22 | semidirect |
| 19. C4×#11744751 | C22 | semidirect |
| 21. C4⋊C8×C113 | C22 | semidirect |
| 23. C4×C8×C113 | C22 | semidirect |
| 53. C2×C4×C113 | M16 | semidirect |
| 89. C113 | #2975 | semidirect |
| 94. #431 | D113 | semidirect |
| 107. C4⋊C8 | C2×D113 | semidirect |
| 112. C4×C8 | C2×D113 | semidirect |
| 148. C2×C4 | #14268630 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D452 | 2 |
| #20298677 | 2 |
| #20298675 | 2 |
| #20298651 | 2 |
| #20298560 | 2 |
| #431×C113 | 2 |
| #2975 | 113 |