Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
194 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20295377 | C2 | semidirect |
| 3. #20295321 | C2 | semidirect |
| 5. #20294773 | C2 | semidirect |
| 7. Q8⋊C8×C109 | C2 | semidirect |
| 87. C109 | #1638 | semidirect |
| 93. Q8⋊C8 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295749 | 2 |
| #20295377 | 2 |
| #20295321 | 2 |
| #20295317 | 2 |
| #20294773 | 2 |
| #20294755 | 2 |
| Q8⋊C8×C109 | 2 |
| #1638 | 109 |