Finite Group Databasebeta

← Group #283193

Character table — Group #283193

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
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
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-1111111-1-1111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-11-11111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11-1-111-1-11111-1
χ1722222222222-2-2-2-22-20000-222220022-2-2-2-200-2-2000000000000000200000000000
χ1822222222222-2-2-2-22-20000-2222200-2-2222200-2-2000000000000000-200000000000
χ1922222222222-2-2-2-22-20000-2-2-2-2-2002222-2-20022000000000000000-200000000000
χ2022222222222-2-2-2-22-20000-2-2-2-2-200-2-2-2-2220022000000000000000200000000000
χ2122222222-2-2-22222-2-22222-20000-2-2000000220022-2-20000000000-2000000000000
χ2222222222-2-2-22222-2-22222-20000-2-2000000-2-200-2-22200000000002000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-20000220000002200-2-2220000000000-2000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2000022000000-2-20022-2-200000000002000000000000
χ252-22-22-22-20002-22-2002i2i−2i−2i0i2i2−i2−i2000000002-2i2−i22i−2i0022−2−222−2−2000000000000i2−i20
χ262-22-22-22-20002-22-2002i2i−2i−2i0i2i2−i2−i200000000-22i2−i2−2i2i0022−2−2−2−222000000000000−i2i20
χ272-22-22-22-20002-22-2002i2i−2i−2i0−i2−i2i2i2000000002-2−i2i22i−2i00−2−222−2−222000000000000−i2i20
χ282-22-22-22-20002-22-2002i2i−2i−2i0−i2−i2i2i200000000-22−i2i2−2i2i00−2−22222−2−2000000000000i2−i20
χ292-22-22-22-20002-22-200−2i−2i2i2i0i2i2−i2−i2000000002-2i2−i2−2i2i00−2−222−2−222000000000000i2−i20
χ302-22-22-22-20002-22-200−2i−2i2i2i0i2i2−i2−i200000000-22i2−i22i−2i00−2−22222−2−2000000000000−i2i20
χ312-22-22-22-20002-22-200−2i−2i2i2i0−i2−i2i2i2000000002-2−i2i2−2i2i0022−2−222−2−2000000000000−i2i20
χ322-22-22-22-20002-22-200−2i−2i2i2i0−i2−i2i2i200000000-22−i2i22i−2i0022−2−2−2−222000000000000i2−i20
χ332-2-22-2-22222-222-2-2-2-2000020000002i−2i002i−2i000000002i−2i2i−2i000000002-2000000000
χ342-2-22-2-22222-222-2-2-2-2000020000002i−2i002i−2i00000000−2i2i−2i2i00000000-22000000000
χ352-2-22-2-22222-222-2-2-2-200002000000−2i2i00−2i2i000000002i−2i2i−2i00000000-22000000000
χ362-2-22-2-22222-222-2-2-2-200002000000−2i2i00−2i2i00000000−2i2i−2i2i000000002-2000000000
χ372-2-22-2-22222-2-2-222-222-22-2-200002-22i−2i00−2i2i00000000000000002i−2i0000000000000
χ382-2-22-2-22222-2-2-222-222-22-2-200002-2−2i2i002i−2i0000000000000000−2i2i0000000000000
χ392-2-22-2-22222-2-2-222-22-22-22-20000-222i−2i00−2i2i0000000000000000−2i2i0000000000000
χ402-2-22-2-22222-2-2-222-22-22-22-20000-22−2i2i002i−2i00000000000000002i−2i0000000000000
χ412-2-22-2-222-2-22-2-2222-22-22-220000-2200000000000000000000000000002-22-200000
χ422-2-22-2-222-2-22-2-2222-22-22-220000-220000000000000000000000000000-22-2200000
χ432-2-22-2-222-2-22-2-2222-2-22-22200002-200000000000000000000000000002-2-2200000
χ442-2-22-2-222-2-22-2-2222-2-22-22200002-20000000000000000000000000000-222-200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-444-440000-40000000000000000000000000000000000000000000022−22000
χ47444-4-4-4-444-440000-400000000000000000000000000000000000000000000−2222000
χ48444-4-4-4-44-44-400004000000000000004i−4i000000000000000000000000000000000
χ49444-4-4-4-44-44-40000400000000000000−4i4i000000000000000000000000000000000
χ5044-444-4-4-40000000000000022−2222−220000000000000022−2200002-22-2000000000000000
χ5144-444-4-4-40000000000000022−2222−2200000000000000−22220000-22-22000000000000000
χ5244-444-4-4-400000000000000−2222−22220000000000000022−220000-22-22000000000000000
χ5344-444-4-4-400000000000000−2222−222200000000000000−222200002-22-2000000000000000
χ5444-4-4-444-40004-4-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5544-4-4-444-40004-4-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5644-4-4-444-4000-444-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ5744-4-4-444-4000-444-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ584-44-44-44-4000-44-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ594-44-44-44-4000-44-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ604-4-44-4-444-4-4444-4-4440000-40000000000000000000000000000000000000000000
χ614-4-4-444-444-4-40000400000000000000000000000000000022−22−2222000000000000000
χ624-4-4-444-444-4-400004000000000000000000000000000000−222222−22000000000000000
χ634-4-4-444-44-4440000-40000004i−4i−4i4i000000000000000000000000000000000000000
χ644-4-4-444-44-4440000-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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