Finite Group Databasebeta

← Group #483099

Character table — Group #483099

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1122222224444888888881616112222222444488888888161611222222244448888888816161122222224444888888881616
order1224488884488161616161616161644222448888448816161616161616164422244888844881616161616161616442224488884488161616161616161644
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ511111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-1
χ611111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-11
χ711111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-11
χ811111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-1
χ92222222-2-2-2-22-200000000002222222-2-2-2-22-200000000002222222-2-2-2-22-200000000002222222-2-2-2-22-20000000000
χ1022222-2-222-2-2-22000000000022222-2-222-2-2-22000000000022222-2-222-2-2-22000000000022222-2-222-2-2-220000000000
χ1122-22-20022000-2i2−i2i2−i200000022-22-20022000-2i2−i2i2−i200000022-22-20022000-2i2−i2i2−i200000022-22-20022000-2i2−i2i2−i2000000
χ1222-22-20022000-2−i2i2−i2i200000022-22-20022000-2−i2i2−i2i200000022-22-20022000-2−i2i2−i2i200000022-22-20022000-2−i2i2−i2i2000000
χ1322-22-200-2-200022−2−2200000022-22-200-2-200022−2−2200000022-22-200-2-200022−2−2200000022-22-200-2-200022−2−22000000
χ1422-22-200-2-20002−222−200000022-22-200-2-20002−222−200000022-22-200-2-20002−222−200000022-22-200-2-20002−222−2000000
χ1522-2-22220000-200000i2−i2i2−i20022-2-22220000-200000i2−i2i2−i20022-2-22220000-200000i2−i2i2−i20022-2-22220000-200000i2−i2i2−i200
χ1622-2-22220000-200000−i2i2−i2i20022-2-22220000-200000−i2i2−i2i20022-2-22220000-200000−i2i2−i2i20022-2-22220000-200000−i2i2−i2i200
χ1722-2-22-2-200002000002−2−220022-2-22-2-200002000002−2−220022-2-22-2-200002000002−2−220022-2-22-2-200002000002−2−2200
χ1822-2-22-2-20000200000−222−20022-2-22-2-20000200000−222−20022-2-22-2-20000200000−222−20022-2-22-2-20000200000−222−200
χ19444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000
χ204-40002i2−2i222−222i−2i0000000000004-40002i2−2i222−222i−2i0000000000004-40002i2−2i222−222i−2i0000000000004-40002i2−2i222−222i−2i000000000000
χ214-40002i2−2i2−2222−2i2i0000000000004-40002i2−2i2−2222−2i2i0000000000004-40002i2−2i2−2222−2i2i0000000000004-40002i2−2i2−2222−2i2i000000000000
χ224-4000−2i22i222−22−2i2i0000000000004-4000−2i22i222−22−2i2i0000000000004-4000−2i22i222−22−2i2i0000000000004-4000−2i22i222−22−2i2i000000000000
χ234-4000−2i22i2−22222i−2i0000000000004-4000−2i22i2−22222i−2i0000000000004-4000−2i22i2−22222i−2i0000000000004-4000−2i22i2−22222i−2i000000000000
χ2411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ271111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ2811111-1-1-1-111-1-1ii−i−iii−i−i1-1-1-1-1-1-11111-1-111−i−iii−i−iii-1111111-1-1-1-111-1-1ii−i−iii−i−i1-1-1-1-1-1-11111-1-111−i−iii−i−iii-11
χ2911111-1-1-1-111-1-1ii−i−i−i−iii-11-1-1-1-1-11111-1-111−i−iiiii−i−i1-111111-1-1-1-111-1-1ii−i−i−i−iii-11-1-1-1-1-11111-1-111−i−iiiii−i−i1-1
χ3011111-1-1-1-111-1-1−i−iiiii−i−i-11-1-1-1-1-11111-1-111ii−i−i−i−iii1-111111-1-1-1-111-1-1−i−iiiii−i−i-11-1-1-1-1-11111-1-111ii−i−i−i−iii1-1
χ3111111-1-1-1-111-1-1−i−iii−i−iii1-1-1-1-1-1-11111-1-111ii−i−iii−i−i-1111111-1-1-1-111-1-1−i−iii−i−iii1-1-1-1-1-1-11111-1-111ii−i−iii−i−i-11
χ322222222-2-2-2-22-20000000000-2-2-2-2-2-2-22222-2200000000002222222-2-2-2-22-20000000000-2-2-2-2-2-2-22222-220000000000
χ3322222-2-222-2-2-220000000000-2-2-2-2-222-2-2222-2000000000022222-2-222-2-2-220000000000-2-2-2-2-222-2-2222-20000000000
χ3422-22-20022000-2i2−i2i2−i2000000-2-22-2200-2-20002−i2i2−i2i200000022-22-20022000-2i2−i2i2−i2000000-2-22-2200-2-20002−i2i2−i2i2000000
χ3522-22-20022000-2−i2i2−i2i2000000-2-22-2200-2-20002i2−i2i2−i200000022-22-20022000-2−i2i2−i2i2000000-2-22-2200-2-20002i2−i2i2−i2000000
χ3622-22-200-2-200022−2−22000000-2-22-220022000-2−222−200000022-22-200-2-200022−2−22000000-2-22-220022000-2−222−2000000
χ3722-22-200-2-20002−222−2000000-2-22-220022000-22−2−2200000022-22-200-2-20002−222−2000000-2-22-220022000-22−2−22000000
χ3822-2-22220000-200000i2−i2i2−i200-2-222-2-2-20000200000−i2i2−i2i20022-2-22220000-200000i2−i2i2−i200-2-222-2-2-20000200000−i2i2−i2i200
χ3922-2-22220000-200000−i2i2−i2i200-2-222-2-2-20000200000i2−i2i2−i20022-2-22220000-200000−i2i2−i2i200-2-222-2-2-20000200000i2−i2i2−i200
χ4022-2-22-2-200002000002−2−2200-2-222-2220000-200000−222−20022-2-22-2-200002000002−2−2200-2-222-2220000-200000−222−200
χ4122-2-22-2-20000200000−222−200-2-222-2220000-2000002−2−220022-2-22-2-20000200000−222−200-2-222-2220000-2000002−2−2200
χ42444-4-4000000000000000000-4-4-444000000000000000000444-4-4000000000000000000-4-4-444000000000000000000
χ434-40002i2−2i222−222i−2i000000000000-44000−2i22i2−2222−2i2i0000000000004-40002i2−2i222−222i−2i000000000000-44000−2i22i2−2222−2i2i000000000000
χ444-40002i2−2i2−2222−2i2i000000000000-44000−2i22i222−222i−2i0000000000004-40002i2−2i2−2222−2i2i000000000000-44000−2i22i222−222i−2i000000000000
χ454-4000−2i22i222−22−2i2i000000000000-440002i2−2i2−22222i−2i0000000000004-4000−2i22i222−22−2i2i000000000000-440002i2−2i2−22222i−2i000000000000
χ464-4000−2i22i2−22222i−2i000000000000-440002i2−2i222−22−2i2i0000000000004-4000−2i22i2−22222i−2i000000000000-440002i2−2i222−22−2i2i000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4811111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ491111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ501111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-1-1-1-1-1-11111-1-111−i−iii−i−iii-11-1-1-1-1-11111-1-111−i−iii−i−iii-11
χ5211111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-11-1-1-1-1-11111-1-111−i−iiiii−i−i1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1-1
χ5311111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-11-1-1-1-1-11111-1-111ii−i−i−i−iii1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1-1
χ5411111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-1-1-1-1-1-11111-1-111ii−i−iii−i−i-11-1-1-1-1-11111-1-111ii−i−iii−i−i-11
χ552222222-2-2-2-22-200000000002222222-2-2-2-22-20000000000-2-2-2-2-2-2-22222-220000000000-2-2-2-2-2-2-22222-220000000000
χ5622222-2-222-2-2-22000000000022222-2-222-2-2-220000000000-2-2-2-2-222-2-2222-20000000000-2-2-2-2-222-2-2222-20000000000
χ5722-22-20022000-2i2−i2i2−i200000022-22-20022000-2i2−i2i2−i2000000-2-22-2200-2-20002−i2i2−i2i2000000-2-22-2200-2-20002−i2i2−i2i2000000
χ5822-22-20022000-2−i2i2−i2i200000022-22-20022000-2−i2i2−i2i2000000-2-22-2200-2-20002i2−i2i2−i2000000-2-22-2200-2-20002i2−i2i2−i2000000
χ5922-22-200-2-200022−2−2200000022-22-200-2-200022−2−22000000-2-22-220022000-2−222−2000000-2-22-220022000-2−222−2000000
χ6022-22-200-2-20002−222−200000022-22-200-2-20002−222−2000000-2-22-220022000-22−2−22000000-2-22-220022000-22−2−22000000
χ6122-2-22220000-200000i2−i2i2−i20022-2-22220000-200000i2−i2i2−i200-2-222-2-2-20000200000−i2i2−i2i200-2-222-2-2-20000200000−i2i2−i2i200
χ6222-2-22220000-200000−i2i2−i2i20022-2-22220000-200000−i2i2−i2i200-2-222-2-2-20000200000i2−i2i2−i200-2-222-2-2-20000200000i2−i2i2−i200
χ6322-2-22-2-200002000002−2−220022-2-22-2-200002000002−2−2200-2-222-2220000-200000−222−200-2-222-2220000-200000−222−200
χ6422-2-22-2-20000200000−222−20022-2-22-2-20000200000−222−200-2-222-2220000-2000002−2−2200-2-222-2220000-2000002−2−2200
χ65444-4-4000000000000000000444-4-4000000000000000000-4-4-444000000000000000000-4-4-444000000000000000000
χ664-40002i2−2i222−222i−2i0000000000004-40002i2−2i222−222i−2i000000000000-44000−2i22i2−2222−2i2i000000000000-44000−2i22i2−2222−2i2i000000000000
χ674-40002i2−2i2−2222−2i2i0000000000004-40002i2−2i2−2222−2i2i000000000000-44000−2i22i222−222i−2i000000000000-44000−2i22i222−222i−2i000000000000
χ684-4000−2i22i222−22−2i2i0000000000004-4000−2i22i222−22−2i2i000000000000-440002i2−2i2−22222i−2i000000000000-440002i2−2i2−22222i−2i000000000000
χ694-4000−2i22i2−22222i−2i0000000000004-4000−2i22i2−22222i−2i000000000000-440002i2−2i222−22−2i2i000000000000-440002i2−2i222−22−2i2i000000000000
χ7011111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1
χ721111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1
χ731111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-111
χ7411111-1-1-1-111-1-1ii−i−iii−i−i1-1-1-1-1-1-11111-1-111−i−iii−i−iii-11-1-1-1-1-11111-1-111−i−iii−i−iii-1111111-1-1-1-111-1-1ii−i−iii−i−i1-1
χ7511111-1-1-1-111-1-1ii−i−i−i−iii-11-1-1-1-1-11111-1-111−i−iiiii−i−i1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1-111111-1-1-1-111-1-1ii−i−i−i−iii-11
χ7611111-1-1-1-111-1-1−i−iiiii−i−i-11-1-1-1-1-11111-1-111ii−i−i−i−iii1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1-111111-1-1-1-111-1-1−i−iiiii−i−i-11
χ7711111-1-1-1-111-1-1−i−iii−i−iii1-1-1-1-1-1-11111-1-111ii−i−iii−i−i-11-1-1-1-1-11111-1-111ii−i−iii−i−i-1111111-1-1-1-111-1-1−i−iii−i−iii1-1
χ782222222-2-2-2-22-20000000000-2-2-2-2-2-2-22222-220000000000-2-2-2-2-2-2-22222-2200000000002222222-2-2-2-22-20000000000
χ7922222-2-222-2-2-220000000000-2-2-2-2-222-2-2222-20000000000-2-2-2-2-222-2-2222-2000000000022222-2-222-2-2-220000000000
χ8022-22-20022000-2i2−i2i2−i2000000-2-22-2200-2-20002−i2i2−i2i2000000-2-22-2200-2-20002−i2i2−i2i200000022-22-20022000-2i2−i2i2−i2000000
χ8122-22-20022000-2−i2i2−i2i2000000-2-22-2200-2-20002i2−i2i2−i2000000-2-22-2200-2-20002i2−i2i2−i200000022-22-20022000-2−i2i2−i2i2000000
χ8222-22-200-2-200022−2−22000000-2-22-220022000-2−222−2000000-2-22-220022000-2−222−200000022-22-200-2-200022−2−22000000
χ8322-22-200-2-20002−222−2000000-2-22-220022000-22−2−22000000-2-22-220022000-22−2−2200000022-22-200-2-20002−222−2000000
χ8422-2-22220000-200000i2−i2i2−i200-2-222-2-2-20000200000−i2i2−i2i200-2-222-2-2-20000200000−i2i2−i2i20022-2-22220000-200000i2−i2i2−i200
χ8522-2-22220000-200000−i2i2−i2i200-2-222-2-2-20000200000i2−i2i2−i200-2-222-2-2-20000200000i2−i2i2−i20022-2-22220000-200000−i2i2−i2i200
χ8622-2-22-2-200002000002−2−2200-2-222-2220000-200000−222−200-2-222-2220000-200000−222−20022-2-22-2-200002000002−2−2200
χ8722-2-22-2-20000200000−222−200-2-222-2220000-2000002−2−2200-2-222-2220000-2000002−2−220022-2-22-2-20000200000−222−200
χ88444-4-4000000000000000000-4-4-444000000000000000000-4-4-444000000000000000000444-4-4000000000000000000
χ894-40002i2−2i222−222i−2i000000000000-44000−2i22i2−2222−2i2i000000000000-44000−2i22i2−2222−2i2i0000000000004-40002i2−2i222−222i−2i000000000000
χ904-40002i2−2i2−2222−2i2i000000000000-44000−2i22i222−222i−2i000000000000-44000−2i22i222−222i−2i0000000000004-40002i2−2i2−2222−2i2i000000000000
χ914-4000−2i22i222−22−2i2i000000000000-440002i2−2i2−22222i−2i000000000000-440002i2−2i2−22222i−2i0000000000004-4000−2i22i222−22−2i2i000000000000
χ924-4000−2i22i2−22222i−2i000000000000-440002i2−2i222−22−2i2i000000000000-440002i2−2i222−22−2i2i0000000000004-4000−2i22i2−22222i−2i000000000000

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