Finite Group DatabasebetaFinite Group Databasebeta← C22⋊C4×C3⋊AGL(1,𝔽11) #72217221
Order 5280.
528 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 120 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 |
|---|---|
| #72217178 | 2 |
| #72217167 | 2 |
| C3×C22⋊C4×C11⋊C5 | 2 |
| C2×C4×C3⋊AGL(1,𝔽11) | 2 |
| C23×C3⋊AGL(1,𝔽11) | 2 |
| C22⋊C4×AGL(1,𝔽11) | 3 |
| C22⋊C4×D33 | 5 |
| C5×D3×C22⋊C4 | 11 |