Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
386 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 386 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. #20295361 | C2 | semidirect |
| 4. #20295333 | C2 | semidirect |
| 5. #20295248 | C2 | semidirect |
| 6. #20295182 | C2 | semidirect |
| 8. #20295131 | C2 | semidirect |
| 9. #20295124 | C2 | semidirect |
| 10. #20295083 | C2 | semidirect |
| 11. C2×C4×Q8×C109 | C2 | semidirect |
| 132. C109 | #3117 | semidirect |
| 134. C2×C4×Q8 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295560 | 2 |
| #20295361 | 2 |
| #20295344 | 2 |
| #20295333 | 2 |
| #20295248 | 2 |
| #20295182 | 2 |
| #20295165 | 2 |
| #20295131 | 2 |
| #20295124 | 2 |
| #20295083 | 2 |
| C2×C4×Q8×C109 | 2 |
| #3117 | 109 |