Finite Group DatabasebetaFinite Group DatabasebetaOrder 13696.
314 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 2. #20292757 | C2 | semidirect |
| 3. #20292756 | C2 | semidirect |
| 4. #20292755 | C2 | semidirect |
| 5. #20292754 | C2 | semidirect |
| 92. C107 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20293180 | 2 |
| #20292757 | 2 |
| #20292756 | 2 |
| #20292755 | 2 |
| #20292754 | 2 |
| #20292688 | 2 |
| #20292685 | 2 |
| #20292681 | 2 |
| #433×C107 | 2 |
| #2987 | 107 |