Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
212 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 68 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. #20295886 | C2 | semidirect |
| 4. #20295885 | C2 | semidirect |
| 89. C109 | #1542 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296044 | 2 |
| D109⋊(C4⋊C8) | 2 |
| #20295886 | 2 |
| #20295885 | 2 |
| #20295580 | 2 |
| #1542 | 109 |