Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #20294933 | C2 | semidirect |
| 5. #20294917 | C2 | semidirect |
| 6. #20294897 | C2 | semidirect |
| 7. #20294895 | C2 | semidirect |
| 8. #20294872 | C2 | semidirect |
| 9. C2×C4×Q8×C109 | C2 | semidirect |
| 12. #16812688 | C4 | semidirect |
| 43. #13182006 | C2×C4 | semidirect |
| 45. C4×Dic109 | C2×C4 | semidirect |
| 48. C2×Q8×C109 | C2×C4 | semidirect |
| 112. C109 | #2326 | semidirect |
| 114. C2×C4×Q8 | D109 | semidirect |
| 145. C2×Q8 | C4×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812688 | 2 |
| C2×C4×D436 | 2 |
| #20294933 | 2 |
| #20294927 | 2 |
| #20294917 | 2 |
| #20294897 | 2 |
| #20294895 | 2 |
| #20294872 | 2 |
| C2×C4×Q8×C109 | 2 |
| #2326 | 109 |