Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
620 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 101 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×#16813550 | C2 | semidirect |
| 3. #20298600 | C2 | semidirect |
| 4. #20298599 | C2 | semidirect |
| 5. C2×#16813538 | C2 | semidirect |
| 6. #20298500 | C2 | semidirect |
| 7. C2×#104×C113 | C2 | semidirect |
| 11. #16813668 | C4 | semidirect |
| 19. C2×#14268631 | C22 | semidirect |
| 20. C2×C4⋊Dic113 | C22 | semidirect |
| 29. C2×M16×C113 | C22 | semidirect |
| 30. C2×C42×C113 | C22 | semidirect |
| 95. Q8×C113 | C22⋊C4 | semidirect |
| 99. D4×C113 | C22⋊C4 | semidirect |
| 124. D452 | C22⋊C4 | semidirect |
| 129. Dic226 | C22⋊C4 | semidirect |
| 166. C113 | #1792 | semidirect |
| 169. C2×#104 | D113 | semidirect |
| 187. C2×M16 | C2×D113 | semidirect |
| 190. C2×C42 | C2×D113 | semidirect |
| 263. Q8 | #14268624 | semidirect |
| 277. D4 | #14268624 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813668 | 2 |
| C2×#16813550 | 2 |
| #20298600 | 2 |
| #20298599 | 2 |
| C2×#16813538 | 2 |
| #20298500 | 2 |
| C2×#104×C113 | 2 |
| #1792 | 113 |