Finite Group Databasebeta

← Group #10823213

Character table — Group #10823213

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
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order1222222234444666666688881212121224242424242424244444121212121212121244448888444422222222644446666666888812121212242424242424242444441212121212121212444488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
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χ81222-22-2-2-2-12-22-2-1-111-111-2-222-111-11111-1-1-1-1000033−3−3−3−333000000000000-2-2-22-22221-22-2211-1-11-1-122-2-21-1-11-1-1-1-111110000−3−33333−3−3000000000000
χ82222-22-2-2-2-12-22-2-1-111-111-2-222-111-11111-1-1-1-10000−3−33333−3−3000000000000-2-2-22-22221-22-2211-1-11-1-122-2-21-1-11-1-1-1-11111000033−3−3−3−333000000000000
χ8322-22-2-2-22200002-22-2-22-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2000000000000002-2−i2i2−i2i20000-2-22-2222-2-20000-22-222-22i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200000000000000-22i2−i2i2−i20000
χ8422-22-2-2-22200002-22-2-22-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200000000000000-22i2−i2i2−i20000-2-22-2222-2-20000-22-222-22i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000002-2−i2i2−i2i20000
χ8522-22-2-2-22200002-22-2-22-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000002-2i2−i2i2−i20000-2-22-2222-2-20000-22-222-22−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200000000000000-22−i2i2−i2i20000
χ8622-22-2-2-22200002-22-2-22-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200000000000000-22−i2i2−i2i20000-2-22-2222-2-20000-22-222-22−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2000000000000002-2i2−i2i2−i20000
χ8722-2-2-222-2200002-2-22-2-22−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i20000000000002-200−i2i2i2−i20000-2-2222-2-22-20000-222-222-2i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2000000000000-2200i2−i2−i2i20000
χ8822-2-2-222-2200002-2-22-2-22−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2000000000000-2200i2−i2−i2i20000-2-2222-2-22-20000-222-222-2i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i20000000000002-200−i2i2i2−i20000
χ8922-2-2-222-2200002-2-22-2-22i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i20000000000002-200i2−i2−i2i20000-2-2222-2-22-20000-222-222-2−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2000000000000-2200−i2i2i2−i20000
χ9022-2-2-222-2200002-2-22-2-22i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2000000000000-2200−i2i2i2−i20000-2-2222-2-22-20000-222-222-2−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i20000000000002-200i2−i2−i2i20000
χ912-2-2222-2-2222-2-2-2-22-22-22000022-2-2000000002-2002-22-20000000000000000-222-2-2-222-2-2-22222-22-22-20000-2-22200000000-2200-22-220000000000000000
χ922-2-2222-2-2222-2-2-2-22-22-22000022-2-200000000-2200-22-220000000000000000-222-2-2-222-2-2-22222-22-22-20000-2-222000000002-2002-22-20000000000000000
χ932-2-2222-2-22-2-222-2-22-22-220000-2-22200000000000000000000000000002i−2i00-222-2-2-222-222-2-222-22-22-2000022-2-20000000000000000000000000000−2i2i00
χ942-2-2222-2-22-2-222-2-22-22-220000-2-2220000000000000000000000000000−2i2i00-222-2-2-222-222-2-222-22-22-2000022-2-200000000000000000000000000002i−2i00
χ952-2-2222-2-2-122-2-211-11-11-10000-1-1113−33−33−33−32-200-11-113−33−3000000000000-222-2-2-2221-2-222-1-11-11-11000011-1-1−33−33−33−33-22001-11-1−33−33000000000000
χ962-2-2222-2-2-122-2-211-11-11-10000-1-1113−33−33−33−3-22001-11-1−33−33000000000000-222-2-2-2221-2-222-1-11-11-11000011-1-1−33−33−33−332-200-11-113−33−3000000000000
χ972-2-2222-2-2-122-2-211-11-11-10000-1-111−33−33−33−332-200-11-11−33−33000000000000-222-2-2-2221-2-222-1-11-11-11000011-1-13−33−33−33−3-22001-11-13−33−3000000000000
χ982-2-2222-2-2-122-2-211-11-11-10000-1-111−33−33−33−33-22001-11-13−33−3000000000000-222-2-2-2221-2-222-1-11-11-11000011-1-13−33−33−33−32-200-11-11−33−33000000000000
χ992-2-2-22-22222-2-22-2-2-2222-200002-22-200000000002-200002-2-22000000000000-2222-22-2-2-2-222-2222-2-2-220000-22-220000000000-220000-222-2000000000000
χ1002-2-2-22-22222-2-22-2-2-2222-200002-22-20000000000-220000-222-2000000000000-2222-22-2-2-2-222-2222-2-2-220000-22-2200000000002-200002-2-22000000000000
χ1012-2-2-22-2222-222-2-2-2-2222-20000-22-220000000000000000000000000000002-2-2222-22-2-2-22-2-22222-2-2-2200002-22-2000000000000000000000000000000-22
χ1022-2-2-22-2222-222-2-2-2-2222-20000-22-22000000000000000000000000000000-22-2222-22-2-2-22-2-22222-2-2-2200002-22-20000000000000000000000000000002-2
χ1032-2-2-22-222-12-2-22111-1-1-110000-11-113−33−3−33−33002-2−333−3-111-1000000000000-2222-22-2-21-222-2-1-1-1111-100001-11-1−33−333−33−300-223−3−331-1-11000000000000
χ1042-2-2-22-222-12-2-22111-1-1-110000-11-113−33−3−33−3300-223−3−331-1-11000000000000-2222-22-2-21-222-2-1-1-1111-100001-11-1−33−333−33−3002-2−333−3-111-1000000000000
χ1052-2-2-22-222-12-2-22111-1-1-110000-11-11−33−333−33−3002-23−3−33-111-1000000000000-2222-22-2-21-222-2-1-1-1111-100001-11-13−33−3−33−3300-22−333−31-1-11000000000000
χ1062-2-2-22-222-12-2-22111-1-1-110000-11-11−33−333−33−300-22−333−31-1-11000000000000-2222-22-2-21-222-2-1-1-1111-100001-11-13−33−3−33−33002-23−3−33-111-1000000000000
χ10744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000-4-4-4-4-4-4-4-42444422222220000-2-2-2-200000000000000000000000000000000
χ108444-44-4-4-4-2-44-44-2-222-22200002-2-2200000000000000000000000000000000-4-4-44-444424-44-422-2-22-2-20000-222-200000000000000000000000000000000
χ10944-44-4-4-44-20000-22-222-22−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000-4-44-4444-4200002-22-2-22-22i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ11044-44-4-4-44-20000-22-222-222i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000-4-44-4444-4200002-22-2-22-2−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ11144-4-4-444-4-20000-222-222-2−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000-4-4444-4-44200002-2-22-2-222i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ11244-4-4-444-4-20000-222-222-22i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000000-4-4444-4-44200002-2-22-2-22−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ1134-444-4-44-440000-4444-4-4-40000000000000000000000000000000000000000-44-4-444-44-400004-4-4-44440000000000000000000000000000000000000000
χ1144-444-4-44-4-200002-2-2-222200000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000-44-4-444-4420000-2222-2-2-200000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ1154-444-4-44-4-200002-2-2-222200000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000-44-4-444-4420000-2222-2-2-200000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ1164-44-4-44-4440000-44-4-4-4440000000000000000000000000000000000000000-44-444-44-4-400004-4444-4-40000000000000000000000000000000000000000
χ1174-44-4-44-44-200002-2222-2-200000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000-44-444-44-420000-22-2-2-22200000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ1184-44-4-44-44-200002-2222-2-200000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000-44-444-44-420000-22-2-2-22200000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ1194-4-4444-4-4-2-4-44422-22-22-2000022-2-200000000000000000000000000000000-444-4-4-444244-4-4-2-22-22-220000-2-22200000000000000000000000000000000
χ1204-4-4-44-444-2-444-4222-2-2-2200002-22-200000000000000000000000000000000-4444-44-4-424-4-44-2-2-2222-20000-22-2200000000000000000000000000000000

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