Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
390 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 91 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. C2×#16813546 | C2 | semidirect |
| 5. #20298505 | C2 | semidirect |
| 6. #20298352 | C2 | semidirect |
| 7. C22×Q16×C113 | C2 | semidirect |
| 126. C113 | #2015 | semidirect |
| 127. C22×Q16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268634 | 2 |
| C2×#16813611 | 2 |
| C2×#16813546 | 2 |
| C2×#16813544 | 2 |
| #20298505 | 2 |
| #20298352 | 2 |
| C22×Q16×C113 | 2 |
| #2015 | 113 |