Finite Group DatabasebetaFinite Group Databasebeta← C4×C7×ΓL(1,𝔽8)×C13⋊C3 #37524686
Order 22932.
168 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 66 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×C7×ΓL(1,𝔽8)×C13⋊C3 | 2 |
| C4×C7×#63271 | 3 |
| C4×C7×#63270 | 3 |
| C4×C7×C13×ΓL(1,𝔽8) | 3 |
| C4×C72×C13⋊C3 | 3 |
| C3×C4×C7×C13⋊C3 | 7 |
| C4×ΓL(1,𝔽8)×C13⋊C3 | 7 |
| C3×C4×C7×ΓL(1,𝔽8) | 13 |