Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
280 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 3. Q8⋊#11744762 | C2 | direct (N × H) |
| 38. C2×Dic226 | C8 | semidirect |
| 41. Q8×D113 | C8 | semidirect |
| 45. C2×Q8×C113 | C8 | semidirect |
| 59. Q8×C113 | C2×C8 | semidirect |
| 73. Dic226 | C2×C8 | semidirect |
| 91. C2×C113 | Q8⋊C8 | semidirect |
| 93. D113 | Q8⋊C8 | semidirect |
| 97. C113 | C2×Q8⋊C8 | semidirect |
| 123. C2×Q8 | #11744762 | semidirect |
| 149. Q8 | C2×#11744762 | semidirect |
| 191. C2 | Q8⋊#11744762 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#11744762 | 2 |
| C2×C4×#11744762 | 2 |
| Q8⋊#11744762 | 2 |
| C2×Q8×#90673 | 2 |
| C2×Q8⋊C8 | 113 |