Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
1328 conjugacy classes of subgroups; only the 328 normal subgroups are shown.
This group has 1328 conjugacy classes of subgroups — too many to draw. Only its 328 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 |
|---|---|
| C32×#11923958 | 3 |
| C32×#11923957 | 3 |
| C32×#11923956 | 3 |
| C32×C32⋊(C43⋊C3) | 3 |
| C32×C9×C43⋊C3 | 3 |
| #23782801 | 3 |
| C3×C32⋊(C43⋊C9) | 3 |
| C3×(C3×C43⋊C3)⋊C9 | 3 |
| C3×C43×C32⋊C9 | 3 |
| C3×C9⋊H(3,𝔽3) | 43 |