Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
174 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 55 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×#16812643 | C2 | semidirect |
| 2. C4×Dic436 | C2 | semidirect |
| 3. C4⋊#13182004 | C2 | semidirect |
| 4. #20294827 | C2 | semidirect |
| 18. Dic436 | D4 | semidirect |
| 52. C4×C109 | SD32 | semidirect |
| 62. C109 | #2207 | semidirect |
| 116. C4 | #16812643 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812643 | 2 |
| C4×Dic436 | 2 |
| C4⋊#13182004 | 2 |
| #20294827 | 2 |
| #493×C109 | 2 |
| #2207 | 109 |