Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D4×D25 |
| Fitting | C4×D4×C25 ⋊ C2 |
| Sylow | C25 ⋊ C2×C4×D4 |
639 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
280 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 1221);