Finite Group DatabasebetaFinite Group DatabasebetaOrder 26973.
1118 conjugacy classes of subgroups; only the 268 normal subgroups are shown.
This group has 1118 conjugacy classes of subgroups — too many to draw. Only its 268 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 |
|---|---|
| #22582679 | 3 |
| C37⋊H(5,𝔽3) | 3 |
| C32×C32⋊(C37⋊C3) | 3 |
| #22582639 | 3 |
| #22582637 | 3 |
| #22582636 | 3 |
| #22582635 | 3 |
| C3×#15688513 | 3 |
| AΣL(1,𝔽27)×C37⋊C3 | 3 |
| C3×C37×AΣL(1,𝔽27) | 3 |
| #10624930 | 37 |