Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
346 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 1. #20299649 | C2 | semidirect |
| 2. #20299631 | C2 | semidirect |
| 3. #20299630 | C2 | semidirect |
| 4. #20299628 | C2 | semidirect |
| 5. #20299623 | C2 | semidirect |
| 6. #20299618 | C2 | semidirect |
| 7. #20299605 | C2 | semidirect |
| 8. #20299601 | C2 | semidirect |
| 115. C113 | #2995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299649 | 2 |
| #20299631 | 2 |
| #20299630 | 2 |
| #20299628 | 2 |
| #20299623 | 2 |
| #20299618 | 2 |
| #20299605 | 2 |
| #20299601 | 2 |
| #20299134 | 2 |
| #2995 | 113 |