Finite Group DatabasebetaFinite Group DatabasebetaOrder 33516.
168 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 60 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×C19⋊#3862 | 2 |
| C4×C19⋊#3862 | 3 |
| C3×C4×C72×C19 | 3 |
| C3×C4×#87705 | 7 |
| C3×C4×#87704 | 7 |
| C3×C4×#3862 | 19 |