Finite Group DatabasebetaFinite Group DatabasebetaOrder 3024.
540 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|
| C2×(C3⋊AGL(1,𝔽7))⋊D3 | 2 |
| C4×C3⋊D3×ΓL(1,𝔽8) | 2 |
| C3×C4⋊(C3⋊AGL(1,𝔽7)) | 2 |
| #92695⋊C3 | 2 |
| #11759635 | 3 |
| D3×C4⋊AGL(1,𝔽7) | 3 |
| C3×#3802 | 7 |