Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
438 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 103 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×C4×D452 | C2 | semidirect |
| 3. C2×#16813543 | C2 | semidirect |
| 4. C2×#16813542 | C2 | semidirect |
| 5. #20298360 | C2 | semidirect |
| 6. #20298353 | C2 | semidirect |
| 7. #390×C113 | C2 | semidirect |
| 12. C2×#14268632 | C4 | semidirect |
| 43. C2×#11744751 | C2×C4 | semidirect |
| 53. C2×D4×C113 | C2×C4 | semidirect |
| 91. C2×C4×C113 | D8 | semidirect |
| 104. D452 | C22⋊C4 | semidirect |
| 147. C113 | #1879 | semidirect |
| 152. #390 | D113 | semidirect |
| 186. C2×D4 | C4×D113 | semidirect |
| 246. C2×C4 | #14268632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268632 | 2 |
| C2×C4×D452 | 2 |
| C2×#16813543 | 2 |
| C2×#16813542 | 2 |
| #20298360 | 2 |
| #20298353 | 2 |
| #390×C113 | 2 |
| #1879 | 113 |