Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
464 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 4. 3−1+2⋊(C43⋊C9) | C3 | semidirect |
| 45. 3−1+2×C43 | 3−1+2 | semidirect |
| 103. C43 | #10624781 | semidirect |
| 120. 3−1+2 | #11923958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#11923958 | 3 |
| #23782798 | 3 |
| 3−1+2⋊(C43⋊C9) | 3 |
| C32×3−1+2×C43 | 3 |
| #10624781 | 43 |