Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
154 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 37 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 |
|---|---|---|
| 7. C2×C4⋊C4×C281 | C4 | semidirect |
| 10. #95×C281 | C4 | semidirect |
| 69. C281 | #1352 | semidirect |
| 75. C2×C4⋊C4 | Dic281 | semidirect |
| 80. #95 | Dic281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823230 | 2 |
| #31823187 | 2 |
| #399×C281 | 2 |
| #1352 | 281 |