Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
964 conjugacy classes of subgroups; only the 553 normal subgroups are shown.
This group has 964 conjugacy classes of subgroups — too many to draw. Only its 553 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. Q8×Dic226 | C2 | semidirect |
| 2. #20299327 | C2 | semidirect |
| 3. #20299324 | C2 | semidirect |
| 35. C2×Q8×C113 | Q8 | semidirect |
| 71. C113 | #3502 | semidirect |
| 98. C2×Q8 | Dic226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic226 | 2 |
| #20299327 | 2 |
| #20299324 | 2 |
| #20299229 | 2 |
| #20299155 | 2 |
| #20299076 | 2 |
| C2×C4×Q8×C113 | 2 |
| #3502 | 113 |