Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| isoclinism | isoclinic class of #700 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C16 · Schur multiplier (H2) = C1 |
| direct product | C5×#64877 |
| Sylow | C52 ⋊ M64 |
75 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72242220, C5×#10598537, #72242225 |
| maximal normal subgroup of | #72242220, C5×#10598537, #72242225 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 2419);