Finite Group DatabasebetaFinite Group DatabasebetaOrder 3520.
692 conjugacy classes of subgroups; only the 192 normal subgroups are shown.
This group has 692 conjugacy classes of subgroups — too many to draw. Only its 192 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⋊AGL(1,𝔽11) | 2 |
| C2×C22⋊C4×C11⋊C5 | 2 |
| #66983⋊C5 | 2 |
| #66939⋊C5 | 2 |
| #66935⋊C5 | 2 |
| #10623024 | 5 |
| C5×#534 | 11 |