Finite Group Databasebeta

← Group #10592880

Character table — Group #10592880

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222991122222222992244444444181822444444441818224444444418184488888888363644888888883636
order1233336666442266666666444412121212121212124488242424242424242488882424242424242424884412121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-1
χ31-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i
χ41-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii
χ5222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100
χ622-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-100
χ722-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-100
χ822-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-1200
χ92-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-211100
χ102-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-21100
χ112-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-2100
χ122-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-200
χ13111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ141111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ151-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i-11-1-1-1-11111−ii-11-1-1-1-11111−ii
χ161-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii-11-1-1-1-11111i−i-11-1-1-1-11111i−i
χ17222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100-2-2-2111-211100-2-2-2111-211100
χ1822-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-100-2-21-2111-21100-2-21-2111-21100
χ1922-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-100-2-211-2111-2100-2-211-2111-2100
χ2022-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-1200-2-2111-2111-200-2-2111-2111-200
χ212-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-211100-22-21112-1-1-100-22-21112-1-1-100
χ222-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-21100-221-211-12-1-100-221-211-12-1-100
χ232-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-2100-2211-21-1-12-100-2211-21-1-12-100
χ242-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-200-22111-2-1-1-1200-22111-2-1-1-1200
χ25111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ261111111111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ271-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i-11-1-1-1-11111−ii-11-1-1-1-11111−ii1-11111-1-1-1-1i−i-11-1-1-1-11111−ii
χ281-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii-11-1-1-1-11111i−i-11-1-1-1-11111i−i1-11111-1-1-1-1−ii-11-1-1-1-11111i−i
χ29222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100-2-2-2111-211100-2-2-2111-211100222-1-1-12-1-1-100-2-2-2111-211100
χ3022-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-100-2-21-2111-21100-2-21-2111-2110022-12-1-1-12-1-100-2-21-2111-21100
χ3122-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-100-2-211-2111-2100-2-211-2111-210022-1-12-1-1-12-100-2-211-2111-2100
χ3222-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-1200-2-2111-2111-200-2-2111-2111-20022-1-1-12-1-1-1200-2-2111-2111-200
χ332-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-211100-22-21112-1-1-100-22-21112-1-1-1002-22-1-1-1-211100-22-21112-1-1-100
χ342-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-21100-221-211-12-1-100-221-211-12-1-1002-2-12-1-11-21100-221-211-12-1-100
χ352-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-2100-2211-21-1-12-100-2211-21-1-12-1002-2-1-12-111-2100-2211-21-1-12-100
χ362-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-200-22111-2-1-1-1200-22111-2-1-1-12002-2-1-1-12111-200-22111-2-1-1-1200
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ381111111111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ391-11111-1-1-1-1i−i1-11111-1-1-1-1i−i1-11111-1-1-1-1i−i-11-1-1-1-11111−ii-11-1-1-1-11111−ii-11-1-1-1-11111−ii1-11111-1-1-1-1i−i
χ401-11111-1-1-1-1−ii1-11111-1-1-1-1−ii1-11111-1-1-1-1−ii-11-1-1-1-11111i−i-11-1-1-1-11111i−i-11-1-1-1-11111i−i1-11111-1-1-1-1−ii
χ41222-1-1-12-1-1-100222-1-1-12-1-1-100222-1-1-12-1-1-100-2-2-2111-211100-2-2-2111-211100-2-2-2111-211100222-1-1-12-1-1-100
χ4222-12-1-1-12-1-10022-12-1-1-12-1-10022-12-1-1-12-1-100-2-21-2111-21100-2-21-2111-21100-2-21-2111-2110022-12-1-1-12-1-100
χ4322-1-12-1-1-12-10022-1-12-1-1-12-10022-1-12-1-1-12-100-2-211-2111-2100-2-211-2111-2100-2-211-2111-210022-1-12-1-1-12-100
χ4422-1-1-12-1-1-120022-1-1-12-1-1-120022-1-1-12-1-1-1200-2-2111-2111-200-2-2111-2111-200-2-2111-2111-20022-1-1-12-1-1-1200
χ452-22-1-1-1-2111002-22-1-1-1-2111002-22-1-1-1-211100-22-21112-1-1-100-22-21112-1-1-100-22-21112-1-1-1002-22-1-1-1-211100
χ462-2-12-1-11-211002-2-12-1-11-211002-2-12-1-11-21100-221-211-12-1-100-221-211-12-1-100-221-211-12-1-1002-2-12-1-11-21100
χ472-2-1-12-111-21002-2-1-12-111-21002-2-1-12-111-2100-2211-21-1-12-100-2211-21-1-12-100-2211-21-1-12-1002-2-1-12-111-2100
χ482-2-1-1-12111-2002-2-1-1-12111-2002-2-1-1-12111-200-22111-2-1-1-1200-22111-2-1-1-1200-22111-2-1-1-12002-2-1-1-12111-200
χ49222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ502222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000000000000000
χ512-22222-2-2-2-22i−2i2-22222-2-2-2-22i−2i-22-2-2-2-22222−2i2i000000000000000000000000000000000000000000000000
χ522-22222-2-2-2-2−2i2i2-22222-2-2-2-2−2i2i-22-2-2-2-222222i−2i000000000000000000000000000000000000000000000000
χ53444-2-2-24-2-2-200444-2-2-24-2-2-200-4-4-4222-422200000000000000000000000000000000000000000000000000
χ5444-24-2-2-24-2-20044-24-2-2-24-2-200-4-42-4222-42200000000000000000000000000000000000000000000000000
χ5544-2-24-2-2-24-20044-2-24-2-2-24-200-4-422-4222-4200000000000000000000000000000000000000000000000000
χ5644-2-2-24-2-2-240044-2-2-24-2-2-2400-4-4222-4222-400000000000000000000000000000000000000000000000000
χ574-44-2-2-2-4222004-44-2-2-2-422200-44-42224-2-2-200000000000000000000000000000000000000000000000000
χ584-4-24-2-22-422004-4-24-2-22-42200-442-422-24-2-200000000000000000000000000000000000000000000000000
χ594-4-2-24-222-42004-4-2-24-222-4200-4422-42-2-24-200000000000000000000000000000000000000000000000000
χ604-4-2-2-24222-4004-4-2-2-24222-400-44222-4-2-2-2400000000000000000000000000000000000000000000000000
χ61222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000222222222222−2−2−2−2−2−2−2−2−2−2−2−2000000000000000000000000
χ622222222222-2-2-2-2-2-2-2-2-2-2-2-2220000000000002222222222−2−2−2−2−2−2−2−2−2−2−2−222000000000000000000000000
χ632-22222-2-2-2-22i−2i-22-2-2-2-22222−2i2i0000000000002−22222−2−2−2−2i2−i2−22−2−2−2−22222−i2i2000000000000000000000000
χ642-22222-2-2-2-2−2i2i-22-2-2-2-222222i−2i0000000000002−22222−2−2−2−2−i2i2−22−2−2−2−22222i2−i2000000000000000000000000
χ65444-2-2-24-2-2-200-4-4-4222-422200000000000000222222−2−2−222−2−2−200−22−22−22222−2222200000000000000000000000000
χ6644-24-2-2-24-2-200-4-42-4222-422000000000000002222−222−2−2−222−2−200−22−222−22222−222200000000000000000000000000
χ6744-2-24-2-2-24-200-4-422-4222-42000000000000002222−2−222−2−2−222−200−22−2222−22222−22200000000000000000000000000
χ6844-2-2-24-2-2-2400-4-4222-4222-4000000000000002222−2−2−222−2−2−22200−22−22222−22222−2200000000000000000000000000
χ694-44-2-2-2-422200-44-42224-2-2-20000000000000022−2222−2−2−2−2222200−2222−2222222−2−2−200000000000000000000000000
χ704-4-24-2-22-42200-442-422-24-2-20000000000000022−22−222−2−22−222200−22222−2222−222−2−200000000000000000000000000
χ714-4-2-24-222-4200-4422-42-2-24-20000000000000022−22−2−222−222−22200−222222−222−2−222−200000000000000000000000000
χ724-4-2-2-24222-400-44222-4-2-2-240000000000000022−22−2−2−222222−2200−2222222−22−2−2−22200000000000000000000000000
χ73222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000−2−2−2−2−2−2−2−2−2−2−2−2222222222222000000000000000000000000
χ742222222222-2-2-2-2-2-2-2-2-2-2-2-222000000000000−2−2−2−2−2−2−2−2−2−2222222222222−2−2000000000000000000000000
χ752-22222-2-2-2-22i−2i-22-2-2-2-22222−2i2i000000000000−22−2−2−2−22222−i2i22−22222−2−2−2−2i2−i2000000000000000000000000
χ762-22222-2-2-2-2−2i2i-22-2-2-2-222222i−2i000000000000−22−2−2−2−22222i2−i22−22222−2−2−2−2−i2i2000000000000000000000000
χ77444-2-2-24-2-2-200-4-4-4222-422200000000000000−22−22−22222−2222200222222−2−2−222−2−2−200000000000000000000000000
χ7844-24-2-2-24-2-200-4-42-4222-42200000000000000−22−222−22222−2222002222−222−2−2−222−2−200000000000000000000000000
χ7944-2-24-2-2-24-200-4-422-4222-4200000000000000−22−2222−22222−222002222−2−222−2−2−222−200000000000000000000000000
χ8044-2-2-24-2-2-2400-4-4222-4222-400000000000000−22−22222−22222−22002222−2−2−222−2−2−22200000000000000000000000000
χ814-44-2-2-2-422200-44-42224-2-2-200000000000000−2222−2222222−2−2−20022−2222−2−2−2−2222200000000000000000000000000
χ824-4-24-2-22-42200-442-422-24-2-200000000000000−22222−2222−222−2−20022−22−222−2−22−222200000000000000000000000000
χ834-4-2-24-222-4200-4422-42-2-24-200000000000000−222222−222−2−222−20022−22−2−222−222−22200000000000000000000000000
χ844-4-2-2-24222-400-44222-4-2-2-2400000000000000−2222222−22−2−2−2220022−22−2−2−222222−2200000000000000000000000000

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