Finite Group Databasebeta

← Group #439375

Character table — Group #439375

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222222244444444444444448888888888888888444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11-1-1-1-1-1-1-11-111-1-111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-11-1-111-1-111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1-11111-1111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111111-1-1-11111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-11-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-11111111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-111-11-1-1-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-11111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1
χ1722222222-2-2-2-222-2-22-22-200000000000000002222-2-2-2-20000002200-2-2020000000-200000000
χ1822222222-2-2-2-222-2-22-22-200000000000000002222-2-2-2-2000000-2-200220-20000000200000000
χ1922222222-2-2-2-222-2-22-22-20000000000000000-2-2-2-222220000002200-2-20-20000000200000000
χ2022222222-2-2-2-222-2-22-22-20000000000000000-2-2-2-22222000000-2-20022020000000-200000000
χ2122222222-2-2-2-2-2-222-22-22000000002222-2-2-2-20000000000002200-2-20020000000-2000000000
χ2222222222-2-2-2-2-2-222-22-22000000002222-2-2-2-2000000000000-2-2002200-200000002000000000
χ2322222222-2-2-2-2-2-222-22-2200000000-2-2-2-222220000000000002200-2-200-200000002000000000
χ2422222222-2-2-2-2-2-222-22-2200000000-2-2-2-22222000000000000-2-200220020000000-2000000000
χ25222-2-22-2-22-2-222222-2-2-2-22222-2-2-2-2000000000000000022-2-200000000002-200000000000000
χ26222-2-22-2-22-2-222222-2-2-2-22222-2-2-2-20000000000000000-2-2220000000000-2200000000000000
χ27222-2-22-2-22-2-222222-2-2-2-2-2-2-2-22222000000000000000022-2-20000000000-2200000000000000
χ28222-2-22-2-22-2-222222-2-2-2-2-2-2-2-222220000000000000000-2-22200000000002-200000000000000
χ292-2-22-222-222-2-22-22-22-2-2200000000000000002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i000000000000002-20000000000
χ302-2-22-222-222-2-22-22-22-2-2200000000000000002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i00000000000000-220000000000
χ312-2-22-222-222-2-22-22-22-2-220000000000000000−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i00000000000000-220000000000
χ322-2-22-222-222-2-22-22-22-2-220000000000000000−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i000000000000002-20000000000
χ332-2-22-222-222-2-2-22-22-222-22i2i−2i−2i2i2i−2i−2i000000000000000000002-2002-20000000000002i−2i000000
χ342-2-22-222-222-2-2-22-22-222-22i2i−2i−2i2i2i−2i−2i00000000000000000000-2200-22000000000000−2i2i000000
χ352-2-22-222-222-2-2-22-22-222-2−2i−2i2i2i−2i−2i2i2i000000000000000000002-2002-2000000000000−2i2i000000
χ362-2-22-222-222-2-2-22-22-222-2−2i−2i2i2i−2i−2i2i2i00000000000000000000-2200-220000000000002i−2i000000
χ372-2-22-222-2-2-2222-2-2222-2-200000000000000002i2i−2i−2i−2i−2i2i2i00002-200-2200000000000000002i−2i00
χ382-2-22-222-2-2-2222-2-2222-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000-22002-20000000000000000−2i2i00
χ392-2-22-222-2-2-2222-2-2222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00002-200-220000000000000000−2i2i00
χ402-2-22-222-2-2-2222-2-2222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000-22002-200000000000000002i−2i00
χ412-2-2-222-222-22-22-22-2-222-2000000002i2i−2i−2i2i2i−2i−2i000000002i−2i−2i2i0000000000002-2000000000000
χ422-2-2-222-222-22-22-22-2-222-2000000002i2i−2i−2i2i2i−2i−2i00000000−2i2i2i−2i000000000000-22000000000000
χ432-2-2-222-222-22-22-22-2-222-200000000−2i−2i2i2i−2i−2i2i2i000000002i−2i−2i2i000000000000-22000000000000
χ442-2-2-222-222-22-22-22-2-222-200000000−2i−2i2i2i−2i−2i2i2i00000000−2i2i2i−2i0000000000002-2000000000000
χ452-2-2-222-222-22-2-22-222-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000002-2002-20000000000002i−2i0000
χ462-2-2-222-222-22-2-22-222-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000-2200-22000000000000−2i2i0000
χ472-2-2-222-222-22-2-22-222-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000002-2002-2000000000000−2i2i0000
χ482-2-2-222-222-22-2-22-222-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000-2200-220000000000002i−2i0000
χ492-2-2-222-22-22-22-222-222-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000002-200-2200000000000000002i−2i
χ502-2-2-222-22-22-22-222-222-2-2000000002i2i−2i−2i−2i−2i2i2i00000000000000-22002-20000000000000000−2i2i
χ512-2-2-222-22-22-22-222-222-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000002-200-220000000000000000−2i2i
χ522-2-2-222-22-22-22-222-222-2-200000000−2i−2i2i2i2i2i−2i−2i00000000000000-22002-200000000000000002i−2i
χ53444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000
χ54444-4-44-4-44-4-44-4-4-4-44444000000000000000000000000000000000000000000000000000000
χ55444-4-44-4-4-444-444-4-4-44-44000000000000000000000000000000000000000000000000000000
χ56444-4-44-4-4-444-4-4-4444-44-4000000000000000000000000000000000000000000000000000000
χ5744-444-4-4-40000000000002-22-22-22-222−2222−22000022−2222−220000000000000000000000000000000000
χ5844-444-4-4-40000000000002-22-22-22-2−2222−22220000−2222−22220000000000000000000000000000000000
χ5944-444-4-4-4000000000000-22-22-22-2222−2222−220000−2222−22220000000000000000000000000000000000
χ6044-444-4-4-4000000000000-22-22-22-22−2222−2222000022−2222−220000000000000000000000000000000000
χ6144-4-4-4-4440000000000002-22-2-22-2200002i2−2i22i2−2i200002i2−2i22i2−2i2000000000000000000000000000000
χ6244-4-4-4-4440000000000002-22-2-22-220000−2i22i2−2i22i20000−2i22i2−2i22i2000000000000000000000000000000
χ6344-4-4-4-444000000000000-22-222-22-200002i2−2i22i2−2i20000−2i22i2−2i22i2000000000000000000000000000000
χ6444-4-4-4-444000000000000-22-222-22-20000−2i22i2−2i22i200002i2−2i22i2−2i2000000000000000000000000000000
χ654-444-4-4-440000000000002i−2i−2i2i2i−2i−2i2i000022−22−22222i2−2i2−2i22i20000000000000000000000000000000000
χ664-444-4-4-440000000000002i−2i−2i2i2i−2i−2i2i0000−222222−22−2i22i22i2−2i20000000000000000000000000000000000
χ674-444-4-4-44000000000000−2i2i2i−2i−2i2i2i−2i000022−22−2222−2i22i22i2−2i20000000000000000000000000000000000
χ684-444-4-4-44000000000000−2i2i2i−2i−2i2i2i−2i0000−222222−222i2−2i2−2i22i20000000000000000000000000000000000
χ694-44-44-44-40000000000002i−2i−2i2i−2i2i2i−2i2i2−2i2−2i22i200000000−222222−22000000000000000000000000000000
χ704-44-44-44-40000000000002i−2i−2i2i−2i2i2i−2i−2i22i22i2−2i20000000022−22−2222000000000000000000000000000000
χ714-44-44-44-4000000000000−2i2i2i−2i2i−2i−2i2i2i2−2i2−2i22i20000000022−22−2222000000000000000000000000000000
χ724-44-44-44-4000000000000−2i2i2i−2i2i−2i−2i2i−2i22i22i2−2i200000000−222222−22000000000000000000000000000000
χ734-4-44-444-4-4-444-444-4-4-444000000000000000000000000000000000000000000000000000000
χ744-4-4-444-44-44-444-4-44-4-444000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).