Finite Group DatabasebetaFinite Group DatabasebetaOrder 7040.
9088 conjugacy classes of subgroups; only the 1361 normal subgroups are shown.
This group has 9088 conjugacy classes of subgroups — too many to draw. Only its 1361 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 |
|---|---|
| C22×C22⋊(Dic11⋊C5) | 2 |
| C23×C22⋊AGL(1,𝔽11) | 2 |
| C26×C11⋊C5 | 2 |
| C2×#67006⋊C5 | 2 |
| C22×#67006 | 5 |
| C22×C5×#120 | 11 |