Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
206 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 112 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. #23782734 | C3 | semidirect |
| 2. #23782733 | C3 | semidirect |
| 4. #23782708 | C3 | semidirect |
| 80. C43 | #10624711 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23782734 | 3 |
| #23782733 | 3 |
| C32⋊(C43⋊C27) | 3 |
| #23782708 | 3 |
| C3×C92×C43 | 3 |
| #10624711 | 43 |