Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
144 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 62 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. #20295951 | C2 | semidirect |
| 4. #20295950 | C2 | semidirect |
| 13. #16812638 | C4 | semidirect |
| 14. #16812638 | C4 | semidirect |
| 17. C2×#13182004 | C4 | semidirect |
| 18. C2×C16×C109 | C4 | semidirect |
| 63. C109 | #2155 | semidirect |
| 77. C2×C16 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D109⋊#108 | 2 |
| #20296036 | 2 |
| #20295951 | 2 |
| #20295950 | 2 |
| C2×#16812638 | 2 |
| #2155 | 109 |