Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
1148 conjugacy classes of subgroups; only the 277 normal subgroups are shown.
This group has 1148 conjugacy classes of subgroups — too many to draw. Only its 277 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.
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#16812526 | 3 |
| C3×#16812525 | 3 |
| C3×H(3,𝔽3)×C43⋊C3 | 3 |
| #23782809 | 3 |
| #23782808 | 3 |
| #23782807 | 3 |
| #23782806 | 3 |
| #23782797 | 3 |
| #23782796 | 3 |
| #23782795 | 3 |
| C3×(C3×C43⋊C3)⋊C9 | 3 |
| C32⋊C9×C43⋊C3 | 3 |
| C43×#6893 | 3 |
| #10624894 | 43 |