Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×C4⋊Dic109 | C2 | semidirect |
| 3. #20295362 | C2 | semidirect |
| 4. #20295357 | C2 | semidirect |
| 5. #20295345 | C2 | semidirect |
| 6. #20295340 | C2 | semidirect |
| 7. #20295068 | C2 | semidirect |
| 8. #20295028 | C2 | semidirect |
| 9. #407×C109 | C2 | semidirect |
| 27. #16812633 | C22 | semidirect |
| 28. #16812631 | C22 | semidirect |
| 29. #16812624 | C22 | semidirect |
| 30. #16812621 | C22 | semidirect |
| 131. C109 | #3092 | semidirect |
| 140. #407 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295537 | 2 |
| C22×C4⋊Dic109 | 2 |
| #20295362 | 2 |
| #20295357 | 2 |
| #20295345 | 2 |
| #20295340 | 2 |
| #20295068 | 2 |
| #20295028 | 2 |
| #407×C109 | 2 |
| #3092 | 109 |