Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
740 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 205 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. #20298501 | C2 | semidirect |
| 4. #20298499 | C2 | semidirect |
| 5. #20298477 | C2 | semidirect |
| 6. #20298474 | C2 | semidirect |
| 7. #20298463 | C2 | semidirect |
| 8. #20298444 | C2 | semidirect |
| 9. C2×C4×D4×C113 | C2 | semidirect |
| 13. #16813618 | C4 | semidirect |
| 33. C2×D452 | C2×C4 | semidirect |
| 36. C2×C22⋊D113 | C2×C4 | semidirect |
| 47. C4×Dic113 | C2×C4 | semidirect |
| 51. C2×D4×C113 | C2×C4 | semidirect |
| 60. C42×C113 | D4 | semidirect |
| 124. C113 | #2328 | semidirect |
| 127. C2×C4×D4 | D113 | semidirect |
| 164. C2×D4 | C4×D113 | semidirect |
| 184. C42 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813618 | 2 |
| C2×C4×D452 | 2 |
| #20298501 | 2 |
| #20298499 | 2 |
| #20298477 | 2 |
| #20298474 | 2 |
| #20298463 | 2 |
| #20298444 | 2 |
| C2×C4×D4×C113 | 2 |
| #2328 | 113 |