Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
226 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 61 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. C22⋊(C271⋊C8) | C4 | semidirect |
| 9. C271⋊#95 | C4 | semidirect |
| 12. C2×C42×C271 | C4 | semidirect |
| 75. C271 | #1284 | semidirect |
| 84. C2×C42 | Dic271 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31773861 | 2 |
| #31773760 | 2 |
| C4×C22⋊C4×C271 | 2 |
| #1284 | 271 |