Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
338 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 12. C2×Dic436 | C4 | semidirect |
| 84. C2×Dic109 | Q16 | semidirect |
| 120. C109 | #1878 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic436 | 2 |
| C2×#16812664 | 2 |
| C2×#16812622 | 2 |
| #20294931 | 2 |
| #20294780 | 2 |
| #340×C109 | 2 |
| #1878 | 109 |