Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
176 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 1. #31823587 | C2 | semidirect |
| 4. #31823193 | C2 | semidirect |
| 6. #31823184 | C2 | semidirect |
| 7. #335×C281 | C2 | semidirect |
| 26. #17985127 | C8 | semidirect |
| 43. Dic562 | C2×C8 | semidirect |
| 60. C8×C281 | C2×C8 | semidirect |
| 77. C281 | SD16⋊C8 | semidirect |
| 82. #335 | D281 | semidirect |
| 138. C8 | C8×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823587 | 2 |
| C4×#17985127 | 2 |
| #31823528 | 2 |
| #31823193 | 2 |
| #31823190 | 2 |
| #31823184 | 2 |
| #335×C281 | 2 |
| SD16⋊C8 | 281 |