Finite Group DatabasebetaFinite Group DatabasebetaOrder 38220.
120 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 54 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×C5×C13⋊#3862 | 2 |
| C4×C5×C72×C13 | 3 |
| C4×C13⋊#3862 | 5 |
| C4×C5×#63271 | 7 |
| C4×C5×#63270 | 7 |
| C4×C5×#3862 | 13 |