Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
230 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 19. #16812633 | C4 | semidirect |
| 20. #16812632 | C4 | semidirect |
| 21. #16812632 | C4 | semidirect |
| 22. #107×C109 | C4 | semidirect |
| 108. C109 | #1918 | semidirect |
| 128. #107 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295977 | 2 |
| C4⋊C4×#89137 | 2 |
| #20295900 | 2 |
| #20295899 | 2 |
| (C2×#89137)⋊C8 | 2 |
| #107×D109 | 2 |
| #1918 | 109 |