Finite Group DatabasebetaFinite Group DatabasebetaOrder 3520.
2724 conjugacy classes of subgroups; only the 928 normal subgroups are shown.
This group has 2724 conjugacy classes of subgroups — too many to draw. Only its 928 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 |
|---|---|
| C24×AGL(1,𝔽11) | 2 |
| C22×D4×C11⋊C5 | 2 |
| C22×C22⋊AGL(1,𝔽11) | 2 |
| C2×D4×AGL(1,𝔽11) | 2 |
| C22×C4⋊AGL(1,𝔽11) | 2 |
| C22×C4×AGL(1,𝔽11) | 2 |
| C22×D4×D11 | 5 |
| C23×C5×D4 | 11 |