Finite Group DatabasebetaFinite Group DatabasebetaOrder 4800.
2064 conjugacy classes of subgroups; only the 265 normal subgroups are shown.
This group has 2064 conjugacy classes of subgroups — too many to draw. Only its 265 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 |
|---|---|
| #72231384 | 2 |
| C3×C22⋊C4×C5⋊D5 | 2 |
| C2×#11925533 | 2 |
| C23×C3⋊#1043 | 2 |
| C2×C4×C3⋊#1043 | 2 |
| C22⋊C4×#1043 | 3 |
| C22⋊C4×ΓL(1,𝔽16) | 5 |