Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 1. C2×#16812758 | C2 | semidirect |
| 2. #20295968 | C2 | semidirect |
| 3. C4×C22⋊#89137 | C2 | semidirect |
| 12. C22×D436 | C4 | semidirect |
| 19. C2×#13182006 | C4 | semidirect |
| 20. C2×C4⋊C4×C109 | C4 | semidirect |
| 26. C22⋊#89137 | D4 | semidirect |
| 104. C4×C109 | #99 | semidirect |
| 116. C109 | #1964 | semidirect |
| 129. C2×C4⋊C4 | #89137 | semidirect |
| 222. C4 | #16812758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812758 | 2 |
| #20295968 | 2 |
| C4×C22⋊#89137 | 2 |
| C2×#16812674 | 2 |
| #1964 | 109 |