Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
324 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 74 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. C2×C4⋊Dic109 | C4 | semidirect |
| 17. C2×#13182008 | C4 | semidirect |
| 19. C22×Q8×C109 | C4 | semidirect |
| 25. C22⋊#89137 | Q8 | semidirect |
| 104. C109 | #1996 | semidirect |
| 109. C22×Q8 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295968 | 2 |
| C4×C22⋊#89137 | 2 |
| #20295904 | 2 |
| C2×#16812675 | 2 |
| #1996 | 109 |