Finite Group DatabasebetaFinite Group Databasebeta← AGL(1,𝔽5)×C22⋊AGL(1,𝔽5) #13107467
Order 1600.
533 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 533 conjugacy classes of subgroups — too many to draw. Only its 100 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×D5×AGL(1,𝔽5) | 2 |
| C2×AGL(1,𝔽5)2 | 2 |
| D5⋊(C22⋊AGL(1,𝔽5)) | 2 |
| D5×C22⋊AGL(1,𝔽5) | 2 |
| (C2×AGL(1,𝔽5))⋊AGL(1,𝔽5) | 2 |
| C4×C22⋊AGL(1,𝔽5) | 5 |
| C22⋊C4×AGL(1,𝔽5) | 5 |