Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#16813587 | C2 | semidirect |
| 3. #20298933 | C2 | semidirect |
| 4. #20298908 | C2 | semidirect |
| 5. #20298819 | C2 | semidirect |
| 6. #20298756 | C2 | semidirect |
| 8. #20298704 | C2 | semidirect |
| 9. #20298695 | C2 | semidirect |
| 10. #20298652 | C2 | semidirect |
| 132. C113 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299129 | 2 |
| C2×#16813587 | 2 |
| #20298933 | 2 |
| #20298908 | 2 |
| #20298819 | 2 |
| #20298756 | 2 |
| #20298736 | 2 |
| #20298704 | 2 |
| #20298695 | 2 |
| #20298652 | 2 |
| #481×C113 | 2 |
| #3117 | 113 |