Finite Group DatabasebetaFinite Group Databasebeta← C3×C3⋊(C7⋊#10596815) #49141568
Order 36540.
112 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 42 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×C7×D145 | 2 |
| C3⋊(C7⋊#10596815) | 3 |
| C3×C7⋊#10596815 | 3 |
| C3×C3⋊(C7⋊#1181) | 5 |
| C3×C3⋊#10596815 | 7 |
| C3×C3⋊(C7⋊AGL(1,𝔽5)) | 29 |