Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 89 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. #20295043 | C2 | semidirect |
| 3. C2×#16812627 | C2 | semidirect |
| 4. #20294999 | C2 | semidirect |
| 5. #20294796 | C2 | semidirect |
| 6. #20294786 | C2 | semidirect |
| 7. C4×#41×C109 | C2 | semidirect |
| 10. #16812729 | C4 | semidirect |
| 12. #16812724 | C4 | semidirect |
| 33. C2×Dic218 | C2×C4 | semidirect |
| 34. C2×D436 | C2×C4 | semidirect |
| 44. #13182013 | C2×C4 | semidirect |
| 130. C109 | #1906 | semidirect |
| 132. C4×#41 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295824 | 2 |
| #20295043 | 2 |
| C2×#16812627 | 2 |
| #20294999 | 2 |
| #20294796 | 2 |
| #20294786 | 2 |
| C4×#41×C109 | 2 |
| #1906 | 109 |