Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
198 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 1. #20295403 | C2 | semidirect |
| 2. #20295222 | C2 | semidirect |
| 3. #20295105 | C2 | semidirect |
| 4. #20294769 | C2 | semidirect |
| 5. #334×C109 | C2 | semidirect |
| 49. C8×C109 | D8 | semidirect |
| 69. C109 | #1687 | semidirect |
| 73. #334 | D109 | semidirect |
| 119. C8 | D872 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295403 | 2 |
| #20295222 | 2 |
| #20295105 | 2 |
| #20294769 | 2 |
| #334×C109 | 2 |
| #1687 | 109 |