Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
222 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 130. C43 | #10624802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#16812514 | 3 |
| #23782818 | 3 |
| #23782812 | 3 |
| #23782792 | 3 |
| C3×(C43⋊C9)⋊C9 | 3 |
| #23782725 | 3 |
| #23782724 | 3 |
| 3−1+2⋊(C43⋊C9) | 3 |
| #23782722 | 3 |
| #23782715 | 3 |
| C43×3−1+2⋊C9 | 3 |
| #10624802 | 43 |