Finite Group DatabasebetaFinite Group DatabasebetaOrder 13696.
226 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 6. C2×C4×Dic107 | C4 | semidirect |
| 8. C22⋊(C107⋊C8) | C4 | semidirect |
| 13. #95×C107 | C4 | semidirect |
| 76. C107 | #1284 | semidirect |
| 89. #95 | Dic107 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20292591 | 2 |
| C4×C22⋊Dic107 | 2 |
| #381×C107 | 2 |
| #1284 | 107 |