Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20298976 | C2 | semidirect |
| 4. #20298947 | C2 | semidirect |
| 5. #20298809 | C2 | semidirect |
| 6. #20298808 | C2 | semidirect |
| 7. #20298805 | C2 | semidirect |
| 11. #462×C113 | C2 | semidirect |
| 105. C4×D113 | Q16 | semidirect |
| 136. C113 | #3209 | semidirect |
| 144. #462 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299152 | 2 |
| C4⋊Q8×D113 | 2 |
| #20298976 | 2 |
| #20298947 | 2 |
| #20298809 | 2 |
| #20298808 | 2 |
| #20298805 | 2 |
| #20298755 | 2 |
| #20298752 | 2 |
| #20298650 | 2 |
| #462×C113 | 2 |
| #3209 | 113 |