Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
356 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 153 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. #20299002 | C2 | semidirect |
| 3. #20298999 | C2 | semidirect |
| 4. #20298998 | C2 | semidirect |
| 5. #20298995 | C2 | semidirect |
| 31. C2×#11744751 | Q8 | semidirect |
| 44. C2×C8×C113 | Q8 | semidirect |
| 79. C113 | #3160 | semidirect |
| 114. C2×C8 | Dic226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299151 | 2 |
| #20299002 | 2 |
| #20298999 | 2 |
| #20298998 | 2 |
| #20298995 | 2 |
| #20298636 | 2 |
| #20298634 | 2 |
| C2×C8×Dic113 | 2 |
| #427×C113 | 2 |
| #3160 | 113 |