Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
482 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 482 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 |
|---|---|---|
| 1. C2×#16812721 | C2 | semidirect |
| 2. C2×Q16×D109 | C2 | semidirect |
| 3. #20295686 | C2 | semidirect |
| 4. #20295411 | C2 | semidirect |
| 5. #20295263 | C2 | semidirect |
| 6. #20295251 | C2 | semidirect |
| 7. #20295186 | C2 | semidirect |
| 8. #20295166 | C2 | semidirect |
| 9. #20295120 | C2 | semidirect |
| 10. C8×C22⋊D109 | C2 | semidirect |
| 11. #467×C109 | C2 | semidirect |
| 54. Dic436 | D4 | semidirect |
| 120. C2×D109 | #135 | semidirect |
| 137. C109 | #3285 | semidirect |
| 142. #467 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812721 | 2 |
| C2×Q16×D109 | 2 |
| #20295686 | 2 |
| #20295411 | 2 |
| #20295263 | 2 |
| #20295251 | 2 |
| #20295186 | 2 |
| #20295166 | 2 |
| #20295120 | 2 |
| C8×C22⋊D109 | 2 |
| #467×C109 | 2 |
| #3285 | 109 |