Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20298622 | C2 | semidirect |
| 3. #20298327 | C2 | semidirect |
| 4. #431×C113 | C2 | semidirect |
| 15. C4⋊#11744751 | C22 | semidirect |
| 19. C4×C8×C113 | C22 | semidirect |
| 62. D452 | M16 | semidirect |
| 90. C113 | #1486 | semidirect |
| 92. #431 | D113 | semidirect |
| 109. C4×C8 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D452 | 2 |
| #20298622 | 2 |
| #20298327 | 2 |
| #431×C113 | 2 |
| #1486 | 113 |