Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 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. #20295506 | C2 | semidirect |
| 3. #20295139 | C2 | semidirect |
| 4. #20295134 | C2 | semidirect |
| 5. C4×#13182018 | C2 | semidirect |
| 6. C2×#16812631 | C2 | semidirect |
| 7. #20295028 | C2 | semidirect |
| 8. #405×C109 | C2 | semidirect |
| 10. #16812721 | C4 | semidirect |
| 30. #13182029 | C2×C4 | semidirect |
| 37. Dic436 | C2×C4 | semidirect |
| 38. #13182018 | C2×C4 | semidirect |
| 39. D872 | C2×C4 | semidirect |
| 47. C2×C8×C109 | C2×C4 | semidirect |
| 91. C109 | #2952 | semidirect |
| 99. #405 | D109 | semidirect |
| 133. C2×C8 | C4×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812721 | 2 |
| #20295506 | 2 |
| #20295139 | 2 |
| #20295134 | 2 |
| C4×#13182018 | 2 |
| C2×#16812631 | 2 |
| #20295028 | 2 |
| #405×C109 | 2 |
| #2952 | 109 |