Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
620 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#16812626 | C2 | semidirect |
| 3. C2×#16812625 | C2 | semidirect |
| 4. #20295025 | C2 | semidirect |
| 5. C2×#16812615 | C2 | semidirect |
| 6. #20294927 | C2 | semidirect |
| 7. #417×C109 | C2 | semidirect |
| 11. #16812745 | C4 | semidirect |
| 19. C2×#13182013 | C22 | semidirect |
| 21. C2×C4×Dic109 | C22 | semidirect |
| 28. C2×M16×C109 | C22 | semidirect |
| 29. C2×C4⋊C4×C109 | C22 | semidirect |
| 95. Q8×C109 | C22⋊C4 | semidirect |
| 99. D4×C109 | C22⋊C4 | semidirect |
| 124. D436 | C22⋊C4 | semidirect |
| 129. Dic218 | C22⋊C4 | semidirect |
| 166. C109 | #1792 | semidirect |
| 171. #417 | D109 | semidirect |
| 187. C2×M16 | C2×D109 | semidirect |
| 188. C2×C4⋊C4 | C2×D109 | semidirect |
| 263. Q8 | #13182006 | semidirect |
| 277. D4 | #13182006 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812745 | 2 |
| C2×#16812626 | 2 |
| C2×#16812625 | 2 |
| #20295025 | 2 |
| C2×#16812615 | 2 |
| #20294927 | 2 |
| #417×C109 | 2 |
| #1792 | 109 |