Finite Group DatabasebetaFinite Group DatabasebetaOrder 2016.
554 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|
| C23×C3⋊AGL(1,𝔽7) | 2 |
| C2×#4268⋊C3 | 2 |
| C2×C4⋊(C3⋊AGL(1,𝔽7)) | 2 |
| C3×C22⋊C4×ΓL(1,𝔽8) | 2 |
| #66631⋊C3 | 2 |
| #10621365 | 3 |
| #6445⋊C3 | 3 |
| C3×#882 | 7 |