Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
436 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 161 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 |
|---|---|---|
| 3. C2×C8×Dic113 | C2 | semidirect |
| 4. #20298353 | C2 | semidirect |
| 5. #336×C113 | C2 | semidirect |
| 12. #16813534 | C4 | semidirect |
| 24. C2×C4×D113 | C8 | semidirect |
| 28. C2×#11744751 | C2×C4 | semidirect |
| 35. C2×C8×C113 | C2×C4 | semidirect |
| 70. C2×D113 | C4×C8 | semidirect |
| 75. Dic113 | C22⋊C8 | semidirect |
| 83. C113 | C4×C22⋊C8 | semidirect |
| 88. #336 | D113 | semidirect |
| 116. C2×C8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D113 | 2 |
| C2×#16813534 | 2 |
| C2×C8×Dic113 | 2 |
| #20298353 | 2 |
| #336×C113 | 2 |
| C4×C22⋊C8 | 113 |