Finite Group DatabasebetaFinite Group Databasebeta← (C2×D3)⋊C4×AGL(1,𝔽11) #72217245
Order 5280.
528 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|
| #72217179 | 2 |
| #72217178 | 2 |
| #72217176 | 2 |
| (C2×D3)⋊C4×C11⋊C5 | 2 |
| C2×Dic3×AGL(1,𝔽11) | 2 |
| C2×C3×C4×AGL(1,𝔽11) | 2 |
| C22×D3×AGL(1,𝔽11) | 2 |
| C22⋊C4×AGL(1,𝔽11) | 3 |
| D11×(C2×D3)⋊C4 | 5 |
| C2×C5×(C2×D3)⋊C4 | 11 |