Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
172 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 16. #16812610 | C4 | semidirect |
| 17. C4×#11724784 | C4 | semidirect |
| 79. C109 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812634 | 2 |
| #20295062 | 2 |
| #20294982 | 2 |
| #20294798 | 2 |
| #20294796 | 2 |
| #20294782 | 2 |
| H(3,ℤ/4)×C109 | 2 |
| #1833 | 109 |