Finite Group DatabasebetaFinite Group Databasebeta← C7×ΓL(1,𝔽8)⋊AGL(1,𝔽13) #37524877
Order 22932.
152 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|
| C7×ΓL(1,𝔽8)×D13⋊C3 | 2 |
| C7×#11763979 | 3 |
| C7×ΓL(1,𝔽8)⋊#261 | 3 |
| C7×#11763984 | 3 |
| C7×#11763985 | 3 |
| C3×C7×AGL(1,𝔽13) | 7 |
| ΓL(1,𝔽8)⋊AGL(1,𝔽13) | 7 |
| C3×C7×ΓL(1,𝔽8)⋊C4 | 13 |