Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 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. C4×#13182029 | C2 | semidirect |
| 3. #20295139 | C2 | semidirect |
| 4. #20295134 | C2 | semidirect |
| 5. #20295128 | C2 | semidirect |
| 6. #20295064 | C2 | semidirect |
| 7. #20295023 | C2 | semidirect |
| 8. C2×#97×C109 | C2 | semidirect |
| 10. #16812721 | C4 | semidirect |
| 30. #13182029 | C2×C4 | semidirect |
| 36. Dic436 | C2×C4 | semidirect |
| 37. #13182018 | C2×C4 | semidirect |
| 38. D872 | C2×C4 | semidirect |
| 48. C2×C8×C109 | C2×C4 | semidirect |
| 90. C109 | #2943 | semidirect |
| 98. C2×#97 | D109 | semidirect |
| 132. 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 |
| C4×#13182029 | 2 |
| #20295139 | 2 |
| #20295134 | 2 |
| #20295128 | 2 |
| #20295064 | 2 |
| #20295023 | 2 |
| C2×#97×C109 | 2 |
| #2943 | 109 |