Finite Group Databasebeta

← Group #11794273

Character table — Group #11794273

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222444444444444444488888888888824242424242424241111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order1222223444466612121212444466121212121212121212124488121212122424242444444488366666312121212666121212121212121266121212121212121212121212242412121212242424241212121212122424366666312121212666121212121212121266121212121212121212121212242412121212242424241212121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ92222222-2-2-2-2222-2-2-2-2000022-2-2000000000000000000002-20000002222222-2-2-2-2222-2-2-2-2000022-2-2000000000000000000002-20000002222222-2-2-2-2222-2-2-2-2000022-2-2000000000000000000002-2000000
χ102222222-2-2-2-2222-2-2-2-2000022-2-200000000000000000000-220000002222222-2-2-2-2222-2-2-2-2000022-2-200000000000000000000-220000002222222-2-2-2-2222-2-2-2-2000022-2-200000000000000000000-22000000
χ11222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ12222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000
χ13222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000
χ14222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000
χ152222-2-222-22-222222220000-2-2-2-20000000000000000000000002-2002222-2-222-22-222222220000-2-2-2-20000000000000000000000002-2002222-2-222-22-222222220000-2-2-2-20000000000000000000000002-200
χ162222-2-222-22-222222220000-2-2-2-2000000000000000000000000-22002222-2-222-22-222222220000-2-2-2-2000000000000000000000000-22002222-2-222-22-222222220000-2-2-2-2000000000000000000000000-2200
χ172222-2-22-22-22222-2-2-2-20000-2-222000000002-20022-2-20000000000002222-2-22-22-22222-2-2-2-20000-2-222000000002-20022-2-20000000000002222-2-22-22-22222-2-2-2-20000-2-222000000002-20022-2-2000000000000
χ182222-2-22-22-22222-2-2-2-20000-2-22200000000-2200-2-2220000000000002222-2-22-22-22222-2-2-2-20000-2-22200000000-2200-2-2220000000000002222-2-22-22-22222-2-2-2-20000-2-22200000000-2200-2-222000000000000
χ192222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−32-200-1-11133−3−3000000002222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−32-200-1-11133−3−3000000002222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−32-200-1-11133−3−300000000
χ202222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−3-220011-1-1−3−333000000002222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−3-220011-1-1−3−333000000002222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−3-220011-1-1−3−33300000000
χ212222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−333332-200-1-111−3−333000000002222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−333332-200-1-111−3−333000000002222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−333332-200-1-111−3−33300000000
χ222222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−33333-220011-1-133−3−3000000002222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−33333-220011-1-133−3−3000000002222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−33333-220011-1-133−3−300000000
χ2322-2-22-222-2-222-2-222-2-200002-22-2000000000000000000000000002-222-2-22-222-2-222-2-222-2-200002-22-2000000000000000000000000002-222-2-22-222-2-222-2-222-2-200002-22-2000000000000000000000000002-2
χ2422-2-22-222-2-222-2-222-2-200002-22-200000000000000000000000000-2222-2-22-222-2-222-2-222-2-200002-22-200000000000000000000000000-2222-2-22-222-2-222-2-222-2-200002-22-200000000000000000000000000-22
χ2522-2-22-22-222-22-2-2-2-22200002-2-2200000000002-200002-22-20000000022-2-22-22-222-22-2-2-2-22200002-2-2200000000002-200002-22-20000000022-2-22-22-222-22-2-2-2-22200002-2-2200000000002-200002-22-200000000
χ2622-2-22-22-222-22-2-2-2-22200002-2-220000000000-220000-22-220000000022-2-22-22-222-22-2-2-2-22200002-2-220000000000-220000-22-220000000022-2-22-22-222-22-2-2-2-22200002-2-220000000000-220000-22-2200000000
χ2722-2-22-2-1-222-2-11111-1-10000-111-133−3−333−3−3002-23−33−3-11-110000000022-2-22-2-1-222-2-11111-1-10000-111-133−3−333−3−3002-23−33−3-11-110000000022-2-22-2-1-222-2-11111-1-10000-111-133−3−333−3−3002-23−33−3-11-1100000000
χ2822-2-22-2-1-222-2-11111-1-10000-111-133−3−333−3−300-22−33−331-11-10000000022-2-22-2-1-222-2-11111-1-10000-111-133−3−333−3−300-22−33−331-11-10000000022-2-22-2-1-222-2-11111-1-10000-111-133−3−333−3−300-22−33−331-11-100000000
χ2922-2-22-2-1-222-2-11111-1-10000-111-1−3−333−3−333002-2−33−33-11-110000000022-2-22-2-1-222-2-11111-1-10000-111-1−3−333−3−333002-2−33−33-11-110000000022-2-22-2-1-222-2-11111-1-10000-111-1−3−333−3−333002-2−33−33-11-1100000000
χ3022-2-22-2-1-222-2-11111-1-10000-111-1−3−333−3−33300-223−33−31-11-10000000022-2-22-2-1-222-2-11111-1-10000-111-1−3−333−3−33300-223−33−31-11-10000000022-2-22-2-1-222-2-11111-1-10000-111-1−3−333−3−33300-223−33−31-11-100000000
χ3122-2-2-22222-2-22-2-222-2-222-2-2-22-2222-2-2-2-2220000000000000000000022-2-2-22222-2-22-2-222-2-222-2-2-22-2222-2-2-2-2220000000000000000000022-2-2-22222-2-22-2-222-2-222-2-2-22-2222-2-2-2-22200000000000000000000
χ3222-2-2-22222-2-22-2-222-2-2-2-222-22-22-2-22222-2-20000000000000000000022-2-2-22222-2-22-2-222-2-2-2-222-22-22-2-22222-2-20000000000000000000022-2-2-22222-2-22-2-222-2-2-2-222-22-22-2-22222-2-200000000000000000000
χ3322-2-2-222-2-2222-2-2-2-2220000-222-200000000000000000000002i−2i000022-2-2-222-2-2222-2-2-2-2220000-222-200000000000000000000002i−2i000022-2-2-222-2-2222-2-2-2-2220000-222-200000000000000000000002i−2i0000
χ3422-2-2-222-2-2222-2-2-2-2220000-222-20000000000000000000000−2i2i000022-2-2-222-2-2222-2-2-2-2220000-222-20000000000000000000000−2i2i000022-2-2-222-2-2222-2-2-2-2220000-222-20000000000000000000000−2i2i0000
χ3522-2-2-22-122-2-2-111-1-11122-2-21-11-1-1-11111-1-100003−3−33−333−30000000022-2-2-22-122-2-2-111-1-11122-2-21-11-1-1-11111-1-100003−3−33−333−30000000022-2-2-22-122-2-2-111-1-11122-2-21-11-1-1-11111-1-100003−3−33−333−300000000
χ3622-2-2-22-122-2-2-111-1-11122-2-21-11-1-1-11111-1-10000−333−33−3−330000000022-2-2-22-122-2-2-111-1-11122-2-21-11-1-1-11111-1-10000−333−33−3−330000000022-2-2-22-122-2-2-111-1-11122-2-21-11-1-1-11111-1-10000−333−33−3−3300000000
χ3722-2-2-22-122-2-2-111-1-111-2-2221-11-111-1-1-1-11100003−3−333−3−330000000022-2-2-22-122-2-2-111-1-111-2-2221-11-111-1-1-1-11100003−3−333−3−330000000022-2-2-22-122-2-2-111-1-111-2-2221-11-111-1-1-1-11100003−3−333−3−3300000000
χ3822-2-2-22-122-2-2-111-1-111-2-2221-11-111-1-1-1-1110000−333−3−333−30000000022-2-2-22-122-2-2-111-1-111-2-2221-11-111-1-1-1-1110000−333−3−333−30000000022-2-2-22-122-2-2-111-1-111-2-2221-11-111-1-1-1-1110000−333−3−333−300000000
χ39444444-2-4-4-4-4-2-2-222220000-2-2220000000000000000000000000000444444-2-4-4-4-4-2-2-222220000-2-2220000000000000000000000000000444444-2-4-4-4-4-2-2-222220000-2-2220000000000000000000000000000
χ404444-4-4-24-44-4-2-2-2-2-2-2-20000222200000000000000000000000000004444-4-4-24-44-4-2-2-2-2-2-2-20000222200000000000000000000000000004444-4-4-24-44-4-2-2-2-2-2-2-2000022220000000000000000000000000000
χ4144-4-44-4-24-4-44-222-2-2220000-22-22000000000000000000000000000044-4-44-4-24-4-44-222-2-2220000-22-22000000000000000000000000000044-4-44-4-24-4-44-222-2-2220000-22-220000000000000000000000000000
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χ113111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
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χ116111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.