Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
266 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 73 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. #20298620 | C2 | semidirect |
| 3. C4×#14268630 | C2 | semidirect |
| 4. #20298330 | C2 | semidirect |
| 5. #20298328 | C2 | semidirect |
| 6. D4⋊#11744751 | C2 | semidirect |
| 7. D4⋊C8×C113 | C2 | semidirect |
| 61. D4×C113 | M16 | semidirect |
| 82. Dic226 | M16 | semidirect |
| 111. C113 | #1489 | semidirect |
| 118. D4⋊C8 | D113 | semidirect |
| 175. D4 | #14268630 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14268646 | 2 |
| #20298620 | 2 |
| C4×#14268630 | 2 |
| #20298330 | 2 |
| #20298328 | 2 |
| D4⋊#11744751 | 2 |
| D4⋊C8×C113 | 2 |
| #1489 | 113 |