Finite Group Databasebeta

← Group #283181

Character table — Group #283181

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-11111-1
χ71111111111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1
χ81111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111111-1-11-1-1-1-111-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1111-11111-1-1-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-111111
χ172222222222-22-2-2-22-20000-222220022-2-22200-2-200000000000000000-2000000000
χ182222222222-22-2-2-22-20000-2222200-2-222-2-200-2-2000000000000000002000000000
χ192222222222-22-2-2-22-20000-2-2-2-2-2002222-2-2002200000000000000000-2000000000
χ202222222222-22-2-2-22-20000-2-2-2-2-200-2-2-2-2220022000000000000000002000000000
χ2122222222-2-22-2222-2-22222-20000-2-2000000220022-2-20000000000-2000000000000
χ2222222222-2-22-2222-2-22222-20000-2-2000000-2-200-2-22200000000002000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-20000220000002200-2-2220000000000-2000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000022000000-2-20022-2-200000000002000000000000
χ252-22-2-2-222222-2-2-22-2222-2-2-200002-2002i−2i2i−2i00000000000000002i−2i0000000000000
χ262-22-2-2-222222-2-2-22-2222-2-2-200002-200−2i2i−2i2i0000000000000000−2i2i0000000000000
χ272-22-2-2-222222-2-2-22-22-2-222-20000-22002i−2i2i−2i0000000000000000−2i2i0000000000000
χ282-22-2-2-222222-2-2-22-22-2-222-20000-2200−2i2i−2i2i00000000000000002i−2i0000000000000
χ292-22-2-2-22222-2-222-2-2-200002000000002i−2i−2i2i000000002i2i−2i−2i00000002-20000000000
χ302-22-2-2-22222-2-222-2-2-200002000000002i−2i−2i2i00000000−2i−2i2i2i0000000-220000000000
χ312-22-2-2-22222-2-222-2-2-20000200000000−2i2i2i−2i000000002i2i−2i−2i0000000-220000000000
χ322-22-2-2-22222-2-222-2-2-20000200000000−2i2i2i−2i00000000−2i−2i2i2i00000002-20000000000
χ332-22-2-2-222-2-222-2-222-222-2-220000-2200000000000000000000000000002-2002-2000
χ342-22-2-2-222-2-222-2-222-222-2-220000-220000000000000000000000000000-2200-22000
χ352-22-2-2-222-2-222-2-222-2-2-222200002-200000000000000000000000000002-200-22000
χ362-22-2-2-222-2-222-2-222-2-2-222200002-20000000000000000000000000000-22002-2000
χ372-2-222-2-2200202-2-2002i−2i2i−2i022−2−2000000002-22−22i−2i00i2−i2i2−i2i2i2−i2−i20000000000002−20
χ382-2-222-2-2200202-2-2002i−2i2i−2i022−2−200000000-222−2−2i2i00i2−i2i2−i2−i2−i2i2i2000000000000−220
χ392-2-222-2-2200202-2-2002i−2i2i−2i0−2−222000000002-2−222i−2i00−i2i2−i2i2−i2−i2i2i2000000000000−220
χ402-2-222-2-2200202-2-2002i−2i2i−2i0−2−22200000000-22−22−2i2i00−i2i2−i2i2i2i2−i2−i20000000000002−20
χ412-2-222-2-2200202-2-200−2i2i−2i2i022−2−2000000002-22−2−2i2i00−i2i2−i2i2−i2−i2i2i20000000000002−20
χ422-2-222-2-2200202-2-200−2i2i−2i2i022−2−200000000-222−22i−2i00−i2i2−i2i2i2i2−i2−i2000000000000−220
χ432-2-222-2-2200202-2-200−2i2i−2i2i0−2−222000000002-2−22−2i2i00i2−i2i2−i2i2i2−i2−i2000000000000−220
χ442-2-222-2-2200202-2-200−2i2i−2i2i0−2−22200000000-22−222i−2i00i2−i2i2−i2−i2−i2i2i20000000000002−20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-40000000000000022−2222−220000000000000022−2200002-22-2000000000000000
χ47444-44-4-4-40000000000000022−2222−2200000000000000−22220000-22-22000000000000000
χ48444-44-4-4-400000000000000−2222−22220000000000000022−220000-22-22000000000000000
χ49444-44-4-4-400000000000000−2222−222200000000000000−222200002-22-2000000000000000
χ5044-44-4-44-44-404000-40000000000004-400000000000000000000000000000000000
χ5144-44-4-44-44-404000-4000000000000-4400000000000000000000000000000000000
χ5244-44-4-44-4-440-400040000000000000000000000000000000000000000002i2−2i200000
χ5344-44-4-44-4-440-40004000000000000000000000000000000000000000000−2i22i200000
χ5444-4-4-44-440040-44-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ5544-4-4-44-440040-44-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ5644-4-4-44-4400-404-4400000000000000000000000000022−22−22220000000000000000000
χ5744-4-4-44-4400-404-44000000000000000000000000000−222222−220000000000000000000
χ584-44-4-4-444-4-4-4444-4440000-40000000000000000000000000000000000000000000
χ594-4-444-4-4400-40-44400000002222−22−220000000000−2222000000000000000000000000000
χ604-4-444-4-4400-40-4440000000−22−222222000000000022−22000000000000000000000000000
χ614-4-4-4444-44-40-400040000004-4-44000000000000000000000000000000000000000
χ624-4-4-4444-44-40-40004000000-444-4000000000000000000000000000000000000000
χ634-4-4-4444-4-4404000-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ644-4-4-4444-4-4404000-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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