Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
166 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 66 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. #20299462 | C2 | semidirect |
| 4. #20299461 | C2 | semidirect |
| 5. #20299460 | C2 | semidirect |
| 6. #20299459 | C2 | semidirect |
| 58. C8×C113 | M16 | semidirect |
| 60. #11744751 | M16 | semidirect |
| 78. C113 | #1569 | semidirect |
| 138. C8 | #14268656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299619 | 2 |
| #20299601 | 2 |
| #20299462 | 2 |
| #20299461 | 2 |
| #20299460 | 2 |
| #20299459 | 2 |
| M16×Dic113 | 2 |
| #1569 | 113 |