Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42×C5 · Schur multiplier (H2) = C2×C4 |
| direct product | C5×#64978 |
| Fitting | C4×C52×C8 ⋊ C2 |
| Sylow | C52 ⋊ #405 |
304 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
520 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 4302);