Finite Group Databasebeta

← Group #325821

Character table — Group #325821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444488888888888844444444444488888888888888888844884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-11
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-11-11
χ1722222222222-2-2-2-22-2-20000000022222222-2-2-2-20000-2-2000000000000000000000000
χ1822222222222-2-2-2-22-2-2000000002222-2-2-2-222220000-2-2000000000000000000000000
χ1922222222222-2-2-2-22-2-200000000-2-2-2-222-2-2-2-222000022000000000000000000000000
χ2022222222222-2-2-2-22-2-200000000-2-2-2-2-2-22222-2-2000022000000000000000000000000
χ2122222222-2-2-22222-2-2-22222-2-2-2-200000000000022-2-20000000000000000002-2000000
χ2222222222-2-2-22222-2-2-22222-2-2-2-2000000000000-2-222000000000000000000-22000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2222200000000000022-2-2000000000000000000-22000000
χ2422222222-2-2-22222-2-2-2-2-2-2-22222000000000000-2-2220000000000000000002-2000000
χ25222-2-22-2-222-20000-20022−2−222−2−222-2-22-22-2000000000022−2−222−2−2000022−2−200000000
χ26222-2-22-2-222-20000-20022−2−222−2−222-2-2-22-220000000000−2−222−2−222000022−2−200000000
χ27222-2-22-2-222-20000-20022−2−222−2−2-2-2222-2-22000000000022−2−2−2−2220000−2−22200000000
χ28222-2-22-2-222-20000-20022−2−222−2−2-2-222-222-20000000000−2−22222−2−20000−2−22200000000
χ29222-2-22-2-222-20000-200−2−222−2−22222-2-22-22-20000000000−2−222−2−2220000−2−22200000000
χ30222-2-22-2-222-20000-200−2−222−2−22222-2-2-22-22000000000022−2−222−2−20000−2−22200000000
χ31222-2-22-2-222-20000-200−2−222−2−222-2-2222-2-220000000000−2−22222−2−2000022−2−200000000
χ32222-2-22-2-222-20000-200−2−222−2−222-2-222-222-2000000000022−2−2−2−222000022−2−200000000
χ332-2222-2-2-22-2-222-2-222-22-22-22-22-20000000000000000000000000022-2-20000002-20000
χ342-2222-2-2-22-2-222-2-222-22-22-22-22-200000000000000000000000000-2-222000000-220000
χ352-2222-2-2-22-2-222-2-222-2-22-22-22-220000000000000000000000000022-2-2000000-220000
χ362-2222-2-2-22-2-222-2-222-2-22-22-22-2200000000000000000000000000-2-2220000002-20000
χ372-2222-2-2-2-22222-2-2-2-222-22-2-22-222-22-20000000000002-20000000000002-22-200000000
χ382-2222-2-2-2-22222-2-2-2-222-22-2-22-22-22-22000000000000-22000000000000-22-2200000000
χ392-2222-2-2-2-22222-2-2-2-22-22-222-22-22-22-20000000000002-2000000000000-22-2200000000
χ402-2222-2-2-2-22222-2-2-2-22-22-222-22-2-22-22000000000000-220000000000002-22-200000000
χ412-2222-2-2-2-222-2-222-22-2000000002-22-2000000000000-222-22-22-22-20000000000000000
χ422-2222-2-2-2-222-2-222-22-2000000002-22-2000000000000-22-22-22-22-220000000000000000
χ432-2222-2-2-2-222-2-222-22-200000000-22-220000000000002-22-22-2-22-220000000000000000
χ442-2222-2-2-2-222-2-222-22-200000000-22-220000000000002-2-22-222-22-20000000000000000
χ452-22-2-2-222-22-200002002−2−22−222−22-2-2200002-22-20000002−2−222−2−2200002−2−2200000000
χ462-22-2-2-222-22-200002002−2−22−222−22-2-220000-22-22000000−222−2−222−200002−2−2200000000
χ472-22-2-2-222-22-200002002−2−22−222−2-222-200002-2-220000002−2−22−222−20000−222−200000000
χ482-22-2-2-222-22-200002002−2−22−222−2-222-20000-222-2000000−222−22−2−220000−222−200000000
χ492-22-2-2-222-22-20000200−222−22−2−222-2-2200002-22-2000000−222−2−222−20000−222−200000000
χ502-22-2-2-222-22-20000200−222−22−2−222-2-220000-22-220000002−2−222−2−220000−222−200000000
χ512-22-2-2-222-22-20000200−222−22−2−22-222-200002-2-22000000−222−22−2−2200002−2−2200000000
χ522-22-2-2-222-22-20000200−222−22−2−22-222-20000-222-20000002−2−22−222−200002−2−2200000000
χ5344444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ54444-4-44-4-4-4-4400004002222−22−22−22−222222000000000000000000000000000000000000000000
χ55444-4-44-4-4-4-440000400−22−2222222222−22−22000000000000000000000000000000000000000000
χ5644-44-4-4-440004-44-4000000000000000000000004i−4i0000000000000000000000000000
χ5744-44-4-4-440004-44-400000000000000000000000−4i4i0000000000000000000000000000
χ5844-44-4-4-44000-44-4400000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ5944-44-4-4-44000-44-440000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ604-4444-4-4-44-4-4-4-4444-4400000000000000000000000000000000000000000000000000
χ614-44-4-4-4444-440000-40022−22−222222−22−2222000000000000000000000000000000000000000000
χ624-44-4-4-4444-440000-400−222222−22−222222−22000000000000000000000000000000000000000000
χ634-4-44-444-40004-4-4400000000000000000000000004i−4i00000000000000000000000000
χ644-4-44-444-40004-4-440000000000000000000000000−4i4i00000000000000000000000000
χ654-4-44-444-4000-444-400000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ664-4-44-444-4000-444-40000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ6788-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-8-8-888-88000000000000000000000000000000000000000000000000000000000000

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