Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
374 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 1. C2×Q8×#90673 | C2 | semidirect |
| 2. C2×#16813685 | C2 | semidirect |
| 5. #20299472 | C2 | semidirect |
| 6. #20299463 | C2 | semidirect |
| 22. C2×#14268636 | C4 | semidirect |
| 23. C2×#14268635 | C4 | semidirect |
| 24. C2×#14268634 | C4 | semidirect |
| 28. C2×SD16×C113 | C4 | semidirect |
| 91. C2×#90673 | SD16 | semidirect |
| 93. Q8×C113 | C22⋊C4 | semidirect |
| 113. Dic226 | C22⋊C4 | semidirect |
| 154. C113 | #1880 | semidirect |
| 169. C2×SD16 | #90673 | semidirect |
| 239. Q8 | C22⋊#90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#90673 | 2 |
| C2×#16813685 | 2 |
| C2×#16813684 | 2 |
| #20299550 | 2 |
| #20299472 | 2 |
| #20299463 | 2 |
| C2×SD16×D113 | 2 |
| #1880 | 113 |