Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
240 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 240 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 |
|---|---|---|
| 15. #22579811 | C4 | semidirect |
| 59. #14555660 | C4⋊C4 | semidirect |
| 98. C277 | #1944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579813 | 2 |
| C2×#22579811 | 2 |
| C2×#22579790 | 2 |
| #31799901 | 2 |
| #31799898 | 2 |
| #31799765 | 2 |
| #340×C277 | 2 |
| #1944 | 277 |