Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C5 |
| direct product | C2×Q8×#1039 |
| Sylow | C52 ⋊ C2×C4×Q8 |
1192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1600 |
280 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 9688);