Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
340 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#22579813 | C2 | semidirect |
| 3. C2×#22579805 | C2 | semidirect |
| 4. C2×#22579790 | C2 | semidirect |
| 5. #31799907 | C2 | semidirect |
| 11. C2×#17984551 | C4 | semidirect |
| 68. #14555660 | C22⋊C4 | semidirect |
| 112. C277 | #1973 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17984551 | 2 |
| C2×#22579813 | 2 |
| C2×#22579805 | 2 |
| C2×#22579790 | 2 |
| #31799907 | 2 |
| #31799905 | 2 |
| C2×#102×C277 | 2 |
| #1973 | 277 |