Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 80 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. C2×#16813690 | C2 | semidirect |
| 4. #20299549 | C2 | semidirect |
| 5. #20299471 | C2 | semidirect |
| 6. #20299463 | C2 | semidirect |
| 23. #16813544 | C4 | semidirect |
| 24. #16813543 | C4 | semidirect |
| 25. #16813542 | C4 | semidirect |
| 26. #102×C113 | C4 | semidirect |
| 54. C2×#11744751 | C2×C4 | semidirect |
| 57. C4⋊Dic113 | C2×C4 | semidirect |
| 60. C2×C8×C113 | C2×C4 | semidirect |
| 61. C4⋊C4×C113 | C2×C4 | semidirect |
| 85. D4×C113 | C4⋊C4 | semidirect |
| 93. D452 | C4⋊C4 | semidirect |
| 140. C113 | #1864 | semidirect |
| 165. #102 | #90673 | semidirect |
| 190. C2×C8 | C2×#90673 | semidirect |
| 198. C4⋊C4 | C2×#90673 | semidirect |
| 216. D4 | C4⋊#90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×#90673 | 2 |
| C2×#16813690 | 2 |
| C2×#16813684 | 2 |
| #20299549 | 2 |
| #20299471 | 2 |
| #20299463 | 2 |
| #102×D113 | 2 |
| #1864 | 113 |