Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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. #20298675 | C2 | semidirect |
| 3. D4×#11744751 | C2 | semidirect |
| 4. #20298348 | C2 | semidirect |
| 5. #20298327 | C2 | semidirect |
| 6. #20298319 | C2 | semidirect |
| 7. D4⋊C8×C113 | C2 | semidirect |
| 45. D4×C113 | M16 | semidirect |
| 84. C113 | #1586 | semidirect |
| 90. D4⋊C8 | D113 | semidirect |
| 131. D4 | #14268630 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14268632 | 2 |
| #20298675 | 2 |
| D4×#11744751 | 2 |
| #20298348 | 2 |
| #20298327 | 2 |
| #20298319 | 2 |
| D4⋊C8×C113 | 2 |
| #1586 | 113 |