Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
500 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 185 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. #20295494 | C2 | semidirect |
| 3. #20295120 | C2 | semidirect |
| 4. #20295113 | C2 | semidirect |
| 5. #20295108 | C2 | semidirect |
| 6. #20295020 | C2 | semidirect |
| 7. C2×C8×Dic109 | C2 | semidirect |
| 8. #427×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 |
| 49. C2×C8×C109 | C2×C4 | semidirect |
| 87. Dic109 | #135 | semidirect |
| 93. C109 | C4×#135 | semidirect |
| 99. #427 | D109 | semidirect |
| 136. 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 |
| #20295494 | 2 |
| #20295120 | 2 |
| #20295113 | 2 |
| #20295108 | 2 |
| #20295020 | 2 |
| C2×C8×Dic109 | 2 |
| #427×C109 | 2 |
| C4×#135 | 109 |