Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
480 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 145 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×#16812697 | C2 | semidirect |
| 4. #20295234 | C2 | semidirect |
| 5. #20295229 | C2 | semidirect |
| 6. #20295049 | C2 | semidirect |
| 7. #20295036 | C2 | semidirect |
| 8. #20295035 | C2 | semidirect |
| 116. Dic109 | #137 | semidirect |
| 122. C109 | #3039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812729 | 2 |
| C2×#16812697 | 2 |
| #41×Dic109 | 2 |
| #20295234 | 2 |
| #20295229 | 2 |
| #20295049 | 2 |
| #20295036 | 2 |
| #20295035 | 2 |
| C2×#137×C109 | 2 |
| #3039 | 109 |