Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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. #20295430 | C2 | semidirect |
| 3. #20295404 | C2 | semidirect |
| 4. #20295375 | C2 | semidirect |
| 7. Q16×Dic109 | C2 | semidirect |
| 8. #20295120 | C2 | semidirect |
| 9. #20295118 | C2 | semidirect |
| 83. C2×Dic109 | Q16 | semidirect |
| 115. C109 | #3170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295578 | 2 |
| #20295430 | 2 |
| #20295404 | 2 |
| #20295375 | 2 |
| #20295267 | 2 |
| #20295265 | 2 |
| Q16×Dic109 | 2 |
| #20295120 | 2 |
| #20295118 | 2 |
| C2×C8×Dic109 | 2 |
| #467×C109 | 2 |
| #3170 | 109 |