Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
402 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 156 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. #20299622 | C2 | semidirect |
| 2. #20299620 | C2 | semidirect |
| 3. #20299616 | C2 | semidirect |
| 4. #20299605 | C2 | semidirect |
| 7. #20299563 | C2 | semidirect |
| 11. #16813689 | C22 | semidirect |
| 12. C4⋊#11744753 | C22 | semidirect |
| 18. #16813677 | C22 | semidirect |
| 19. C4×#11744753 | C22 | semidirect |
| 111. C113 | #2924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299622 | 2 |
| #20299620 | 2 |
| #20299616 | 2 |
| #20299605 | 2 |
| #20299569 | 2 |
| #20299566 | 2 |
| #20299563 | 2 |
| #117×D113 | 2 |
| #2924 | 113 |