| order | 2000 |
| isoclinism | isoclinic class of C5⋊(C5⋊D5) |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C53 |
| direct product | C2×C4×C5⋊(C5⋊D5) |
| Fitting | C2×C4×C53 ⋊ C2 |
| derived, Sylow | C53 ⋊ C22×C4 |
1728 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1000 |
512 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 883);