Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×#16812730 | C2 | semidirect |
| 3. C2×Q8×Dic109 | C2 | semidirect |
| 4. #20295250 | C2 | semidirect |
| 5. #20295246 | C2 | semidirect |
| 6. #20295234 | C2 | semidirect |
| 7. #20295224 | C2 | semidirect |
| 8. #20295049 | C2 | semidirect |
| 9. #20295028 | C2 | semidirect |
| 10. #20295027 | C2 | semidirect |
| 11. C2×#137×C109 | C2 | semidirect |
| 80. C2×Q8×C109 | D4 | semidirect |
| 150. Dic109 | #137 | semidirect |
| 158. C109 | #3037 | semidirect |
| 160. C2×#137 | D109 | semidirect |
| 210. C2×Q8 | C22⋊D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812730 | 2 |
| #20295572 | 2 |
| C2×Q8×Dic109 | 2 |
| #20295250 | 2 |
| #20295246 | 2 |
| #20295234 | 2 |
| #20295224 | 2 |
| #20295049 | 2 |
| #20295028 | 2 |
| #20295027 | 2 |
| C2×#137×C109 | 2 |
| #3037 | 109 |