Finite Group Databasebeta

← Group #211486

Character table — Group #211486

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111122222222222222224444444444444444444444888888888888888888888888888888881616161616161616
order12222222444444444444444444444444444444888888882244888888888888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1411111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ1511111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ17111-1-1-1-11iiii−i−i−i−i-11-1111-1-11-1iiii−i−i−i−iii−i−i11-1-1ii−i−i1-11-11-1i−i11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−ii−ii−i1-11-1
χ18111-1-1-1-11iiii−i−i−i−i-11-1111-1-11-1iiii−i−i−i−iii−i−i11-1-1ii−i−i1-11-11-1i−i-1-111-1-111ii−i−i11-1-1−i−iii−i−iii−ii−ii-11-11
χ19111-1-1-1-11iiii−i−i−i−i-11-1111-1-11-1iiii−i−i−i−iii−i−i-1-111−i−iii1-11-1-11−ii11-1-1-1-111−i−iii-1-111ii−i−i−i−iiii−i−ii1-1-11
χ20111-1-1-1-11iiii−i−i−i−i-11-1111-1-11-1iiii−i−i−i−iii−i−i-1-111−i−iii1-11-1-11−ii-1-11111-1-1−i−iii-1-111−i−iiiii−i−i−iii−i-111-1
χ21111-1-1-1-11iiii−i−i−i−i-11-1111-1-11-1−i−i−i−iiiiiii−i−i11-1-1ii−i−i-11-111-1i−i11-1-111-1-1−i−iii-1-111ii−i−iii−i−i−ii−ii-11-11
χ22111-1-1-1-11iiii−i−i−i−i-11-1111-1-11-1−i−i−i−iiiiiii−i−i11-1-1ii−i−i-11-111-1i−i-1-111-1-111−i−iii-1-111−i−iii−i−iiii−ii−i1-11-1
χ23111-1-1-1-11iiii−i−i−i−i-11-1111-1-11-1−i−i−i−iiiiiii−i−i-1-111−i−iii-11-11-11−ii11-1-1-1-111ii−i−i11-1-1ii−i−i−i−iii−iii−i-111-1
χ24111-1-1-1-11iiii−i−i−i−i-11-1111-1-11-1−i−i−i−iiiiiii−i−i-1-111−i−iii-11-11-11−ii-1-11111-1-1ii−i−i11-1-1−i−iiiii−i−ii−i−ii1-1-11
χ25111-1-1-1-11−i−i−i−iiiii-11-1111-1-11-1iiii−i−i−i−i−i−iii11-1-1−i−iii-11-111-1−ii11-1-111-1-1ii−i−i-1-111−i−iii−i−iiii−ii−i-11-11
χ26111-1-1-1-11−i−i−i−iiiii-11-1111-1-11-1iiii−i−i−i−i−i−iii11-1-1−i−iii-11-111-1−ii-1-111-1-111ii−i−i-1-111ii−i−iii−i−i−ii−ii1-11-1
χ27111-1-1-1-11−i−i−i−iiiii-11-1111-1-11-1iiii−i−i−i−i−i−iii-1-111ii−i−i-11-11-11i−i11-1-1-1-111−i−iii11-1-1−i−iiiii−i−ii−i−ii-111-1
χ28111-1-1-1-11−i−i−i−iiiii-11-1111-1-11-1iiii−i−i−i−i−i−iii-1-111ii−i−i-11-11-11i−i-1-11111-1-1−i−iii11-1-1ii−i−i−i−iii−iii−i1-1-11
χ29111-1-1-1-11−i−i−i−iiiii-11-1111-1-11-1−i−i−i−iiiii−i−iii11-1-1−i−iii1-11-11-1−ii11-1-111-1-1−i−iii11-1-1−i−iii−i−iii−ii−ii1-11-1
χ30111-1-1-1-11−i−i−i−iiiii-11-1111-1-11-1−i−i−i−iiiii−i−iii11-1-1−i−iii1-11-11-1−ii-1-111-1-111−i−iii11-1-1ii−i−iii−i−ii−ii−i-11-11
χ31111-1-1-1-11−i−i−i−iiiii-11-1111-1-11-1−i−i−i−iiiii−i−iii-1-111ii−i−i1-11-1-11i−i11-1-1-1-111ii−i−i-1-111−i−iiiii−i−i−iii−i1-1-11
χ32111-1-1-1-11−i−i−i−iiiii-11-1111-1-11-1−i−i−i−iiiii−i−iii-1-111ii−i−i1-11-1-11i−i-1-11111-1-1ii−i−i-1-111ii−i−i−i−iiii−i−ii-111-1
χ332222222222222222-222-2-222-2-2-200000000-2-2-2-2222222220000-2-2-2-200000000000000000000000000000000
χ342222222222222222-222-2-222-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ352222222222-2-222-2-22-2-222-2-22-2-222-2-222-2-22-22-20000000022-2-2000000000000000000000000000000000000
χ362222222222-2-222-2-22-2-222-2-22-2-2-2-222-2-2222-22-200000000-2-222000000000000000000000000000000000000
χ372222222222-2-222-2-2-2-2-2-2-2-2-2-22200000000-22-220000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ382222222222-2-222-2-2-2-2-2-2-2-2-2-22200000000-22-22000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ3922222222-2-222-2-2222-2-222-2-22-2-222-2-222-2-2-22-2200000000-2-222000000000000000000000000000000000000
χ4022222222-2-222-2-2222-2-222-2-22-2-2-2-222-2-222-22-220000000022-2-2000000000000000000000000000000000000
χ4122222222-2-222-2-222-2-2-2-2-2-2-2-222000000002-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ4222222222-2-222-2-222-2-2-2-2-2-2-2-222000000002-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4322222222-2-2-2-2-2-2-2-2-222-2-222-2-2-20000000022222222-2-2-2-20000-2-22200000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-222-2-222-2-2-2000000002222-2-2-2-22222000022-2-200000000000000000000000000000000
χ45222-2-2-2-222i2i2i2i−2i−2i−2i−2i22-2-2-22-22-2200000000−2i−2i2i2i22-2-22i2i−2i−2i0000-22−2i2i00000000000000000000000000000000
χ46222-2-2-2-222i2i2i2i−2i−2i−2i−2i22-2-2-22-22-2200000000−2i−2i2i2i-2-222−2i−2i2i2i00002-22i−2i00000000000000000000000000000000
χ47222-2-2-2-222i2i−2i−2i−2i−2i2i2i2-22-2-2-2222-200000000−2i2i2i−2i0000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ48222-2-2-2-222i2i−2i−2i−2i−2i2i2i2-22-2-2-2222-200000000−2i2i2i−2i000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ49222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-2222-22-2-222i2i−2i−2i−2i−2i2i2i2i−2i−2i2i000000002-2-22000000000000000000000000000000000000
χ50222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-2222-22-2-22−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i00000000-222-2000000000000000000000000000000000000
χ51222-2-2-2-22−2i−2i2i2i2i2i−2i−2i2-22-2-2-2222-2000000002i−2i−2i2i0000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ52222-2-2-2-22−2i−2i2i2i2i2i−2i−2i2-22-2-2-2222-2000000002i−2i−2i2i000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ53222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-2222-22-2-222i2i−2i−2i−2i−2i2i2i−2i2i2i−2i00000000-222-2000000000000000000000000000000000000
χ54222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-2222-22-2-22−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i000000002-2-22000000000000000000000000000000000000
χ55222-2-2-2-22−2i−2i−2i−2i2i2i2i2i22-2-2-22-22-22000000002i2i−2i−2i22-2-2−2i−2i2i2i0000-222i−2i00000000000000000000000000000000
χ56222-2-2-2-22−2i−2i−2i−2i2i2i2i2i22-2-2-22-22-22000000002i2i−2i−2i-2-2222i2i−2i−2i00002-2−2i2i00000000000000000000000000000000
χ572-2222-2-2-22-22-22-22-20-2-200220000000000000002-22-22-22-200000000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i200000000
χ582-2222-2-2-22-22-22-22-20-2-200220000000000000002-22-22-22-200000000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i200000000
χ592-2222-2-2-22-22-22-22-20-2-20022000000000000000-22-22-22-2200000000i2−i2i2−i2−i2i2−i2i200000000i2−i2i2−i2−i2i2−i2i200000000
χ602-2222-2-2-22-22-22-22-20-2-20022000000000000000-22-22-22-2200000000−i2i2−i2i2i2−i2i2−i200000000−i2i2−i2i2i2−i2i2−i200000000
χ612-2222-2-2-2-22-22-22-220-2-200220000000000000002-22-2-22-2200000000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i2−i2i2−i2i200000000
χ622-2222-2-2-2-22-22-22-220-2-200220000000000000002-22-2-22-2200000000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i2i2−i2i2−i200000000
χ632-2222-2-2-2-22-22-22-220-2-20022000000000000000-22-222-22-200000000i2−i2i2−i2−i2i2−i2i200000000−i2i2−i2i2i2−i2i2−i200000000
χ642-2222-2-2-2-22-22-22-220-2-20022000000000000000-22-222-22-200000000−i2i2−i2i2i2−i2i2−i200000000i2−i2i2−i2−i2i2−i2i200000000
χ652-22-2-222-22i−2i2i−2i−2i2i−2i2i0-22002-20000000000000002-2-222i−2i−2i2i00000000i2−i2−i2i2i2−i2−i2i200000000−222−2−222−200000000
χ662-22-2-222-22i−2i2i−2i−2i2i−2i2i0-22002-20000000000000002-2-222i−2i−2i2i00000000−i2i2i2−i2−i2i2i2−i2000000002−2−222−2−2200000000
χ672-22-2-222-22i−2i2i−2i−2i2i−2i2i0-22002-2000000000000000-222-2−2i2i2i−2i00000000i2−i2−i2i2−i2i2i2−i200000000−222−22−2−2200000000
χ682-22-2-222-22i−2i2i−2i−2i2i−2i2i0-22002-2000000000000000-222-2−2i2i2i−2i00000000−i2i2i2−i2i2−i2−i2i2000000002−2−22−222−200000000
χ692-22-2-222-2−2i2i−2i2i2i−2i2i−2i0-22002-20000000000000002-2-22−2i2i2i−2i00000000i2−i2−i2i2i2−i2−i2i2000000002−2−222−2−2200000000
χ702-22-2-222-2−2i2i−2i2i2i−2i2i−2i0-22002-20000000000000002-2-22−2i2i2i−2i00000000−i2i2i2−i2−i2i2i2−i200000000−222−2−222−200000000
χ712-22-2-222-2−2i2i−2i2i2i−2i2i−2i0-22002-2000000000000000-222-22i−2i−2i2i00000000i2−i2−i2i2−i2i2i2−i2000000002−2−22−222−200000000
χ722-22-2-222-2−2i2i−2i2i2i−2i2i−2i0-22002-2000000000000000-222-22i−2i−2i2i00000000−i2i2i2−i2i2−i2−i2i200000000−222−22−2−2200000000
χ734-4444-4-4-44-4-444-4-4404400-4-4000000000000000000000000000000000000000000000000000000000000000
χ744-4444-4-4-4-444-4-444-404400-4-4000000000000000000000000000000000000000000000000000000000000000
χ754-44-4-444-44i−4i−4i4i−4i4i4i−4i04-400-44000000000000000000000000000000000000000000000000000000000000000
χ764-44-4-444-4−4i4i4i−4i4i−4i−4i4i04-400-44000000000000000000000000000000000000000000000000000000000000000
χ774-4-44-44-44000000004004-400-400004i−4i004i−4i0000000000000000000000000000000000000000000000000000
χ784-4-44-44-44000000004004-400-40000−4i4i00−4i4i0000000000000000000000000000000000000000000000000000
χ794-4-44-44-4400000000-400-44004004-4004-4000000000000000000000000000000000000000000000000000000
χ804-4-44-44-4400000000-400-4400400-4400-44000000000000000000000000000000000000000000000000000000
χ814-4-4-44-44400000000400-4400-4004i−4i00−4i4i000000000000000000000000000000000000000000000000000000
χ824-4-4-44-44400000000400-4400-400−4i4i004i−4i000000000000000000000000000000000000000000000000000000
χ834-4-4-44-44400000000-4004-400400004-400-440000000000000000000000000000000000000000000000000000
χ844-4-4-44-44400000000-4004-40040000-44004-40000000000000000000000000000000000000000000000000000
χ8588-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000

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