Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
200 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 83. Dic109 | #108 | semidirect |
| 92. C109 | #1950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812770 | 2 |
| C2×#16812769 | 2 |
| #20296031 | 2 |
| C4×#13182039 | 2 |
| #20295902 | 2 |
| C4⋊C8×D109 | 2 |
| #1950 | 109 |