Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
488 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #20295120 | C2 | direct (N × H) |
| 8. C2×Dic436 | C4 | semidirect |
| 28. Dic436 | C2×C4 | semidirect |
| 51. C2×Dic109 | Q16 | semidirect |
| 69. Dic109 | C2×Q16 | semidirect |
| 70. C2×C109 | C4×Q16 | semidirect |
| 75. C109 | C2×C4×Q16 | semidirect |
| 145. C2 | #20295120 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic436 | 2 |
| C2×#16812664 | 2 |
| #20295120 | 2 |
| C2×#16812622 | 2 |
| C2×C8×Dic109 | 2 |
| C2×#107×C109 | 2 |
| C2×C4×Q16 | 109 |