Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 153 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×#16813644 | C2 | semidirect |
| 2. C2×#16813642 | C2 | semidirect |
| 3. #20299144 | C2 | semidirect |
| 4. #20298983 | C2 | semidirect |
| 5. #20298981 | C2 | semidirect |
| 6. #20298979 | C2 | semidirect |
| 7. #20298976 | C2 | semidirect |
| 8. #20298973 | C2 | semidirect |
| 9. #20298969 | C2 | semidirect |
| 10. C2×C8×Dic113 | C2 | semidirect |
| 11. C2×#135×C113 | C2 | semidirect |
| 55. C2×#11744751 | D4 | semidirect |
| 74. C2×C8×C113 | D4 | semidirect |
| 119. Dic113 | #135 | semidirect |
| 126. C113 | #3147 | semidirect |
| 129. C2×#135 | D113 | semidirect |
| 194. C2×C8 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813644 | 2 |
| C2×#16813642 | 2 |
| #20299144 | 2 |
| #20298983 | 2 |
| #20298981 | 2 |
| #20298979 | 2 |
| #20298976 | 2 |
| #20298973 | 2 |
| #20298969 | 2 |
| C2×C8×Dic113 | 2 |
| C2×#135×C113 | 2 |
| #3147 | 113 |