Finite Group DatabasebetaFinite Group Databasebeta← C22×((C2×D11)⋊C4)⋊C5 #72248865
Order 3520.
1348 conjugacy classes of subgroups; only the 416 normal subgroups are shown.
This group has 1348 conjugacy classes of subgroups — too many to draw. Only its 416 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 |
| C23×C4×C11⋊C5 | 2 |
| C23×Dic11⋊C5 | 2 |
| C2×((C2×D11)⋊C4)⋊C5 | 2 |
| C22×(C2×D11)⋊C4 | 5 |
| C22×C5×C22⋊C4 | 11 |