Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20299145 | C2 | semidirect |
| 2. #20298995 | C2 | semidirect |
| 3. #20298973 | C2 | semidirect |
| 4. #20298943 | C2 | semidirect |
| 5. #20298852 | C2 | semidirect |
| 6. #20298850 | C2 | semidirect |
| 7. #20298848 | C2 | semidirect |
| 8. #20298711 | C2 | semidirect |
| 9. #20298708 | C2 | semidirect |
| 10. #20298550 | C2 | semidirect |
| 11. #442×C113 | C2 | semidirect |
| 94. C8×C113 | #41 | semidirect |
| 96. #11744751 | #41 | semidirect |
| 119. C113 | #3184 | semidirect |
| 129. #442 | D113 | semidirect |
| 215. C8 | #14268647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299145 | 2 |
| #20298995 | 2 |
| #20298973 | 2 |
| #20298943 | 2 |
| #20298852 | 2 |
| #20298850 | 2 |
| #20298848 | 2 |
| #20298711 | 2 |
| #20298708 | 2 |
| #20298550 | 2 |
| #442×C113 | 2 |
| #3184 | 113 |