Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
222 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 58. C9×C43 | #733 | semidirect |
| 97. C43 | #10624799 | semidirect |
| 133. C9 | #16812514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#16812514 | 3 |
| #23782816 | 3 |
| C9×#11923958 | 3 |
| C3×#16812499 | 3 |
| #23782725 | 3 |
| 3−1+2⋊(C43⋊C9) | 3 |
| #23782722 | 3 |
| #23782715 | 3 |
| C43×#6894 | 3 |
| #10624799 | 43 |