Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
154 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 51 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. #20298720 | C2 | semidirect |
| 3. #20298709 | C2 | semidirect |
| 4. #20298420 | C2 | semidirect |
| 5. #20298412 | C2 | semidirect |
| 6. #20298375 | C2 | semidirect |
| 7. #360×C113 | C2 | semidirect |
| 11. #16813565 | C4 | semidirect |
| 12. #16813563 | C4 | semidirect |
| 31. #14268622 | C2×C4 | semidirect |
| 33. Q16×C113 | C2×C4 | semidirect |
| 35. D8×C113 | C2×C4 | semidirect |
| 69. C113 | AGL(1,ℤ/16) | semidirect |
| 75. #360 | D113 | semidirect |
| 93. Q16 | C4×D113 | semidirect |
| 97. D8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299033 | 2 |
| #20298720 | 2 |
| #20298709 | 2 |
| #20298420 | 2 |
| #20298412 | 2 |
| #20298375 | 2 |
| #360×C113 | 2 |
| AGL(1,ℤ/16) | 113 |