Finite Group Databasebeta

← Group #11857761

Character table — Group #11857761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222244444444444412121212121212121212121218181818111122222222224444444444441212121212121212121212121818181811112222222222444444444444121212121212121212121212181818181111222222222244444444444412121212121212121212121218181818
order1222334466666636661212121212121212444412121212121212128888222266446666666666121212121212121244441212121212121212888822226644666666666612121212121212124444121212121212121288882222664466666666661212121212121212444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i1-1ii−i−i11-1-1ii−i−i1-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i1-1ii−i−i11-1-1ii−i−i1-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i1-1ii−i−i11-1-1ii−i−i1-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i1-1ii−i−i11-1-1ii−i−i
χ61-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i-11ii−i−i-1-111−i−iii1-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i-11ii−i−i-1-111−i−iii1-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i-11ii−i−i-1-111−i−iii1-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i-11ii−i−i-1-111−i−iii
χ71-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii1-1−i−iii11-1-1−i−iii1-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii1-1−i−iii11-1-1−i−iii1-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii1-1−i−iii11-1-1−i−iii1-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii1-1−i−iii11-1-1−i−iii
χ81-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii-11−i−iii-1-111ii−i−i1-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii-11−i−iii-1-111ii−i−i1-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii-11−i−iii-1-111ii−i−i1-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii-11−i−iii-1-111ii−i−i
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χ1122222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-2-20011110000000022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-2-20011110000000022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-2-20011110000000022222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-2-200111100000000
χ1222222-1-2-222-1-1-12-1-1-1-111-2-211110000−i3i3−i3i30000000022222-1-2-222-1-1-12-1-1-1-111-2-211110000−i3i3−i3i30000000022222-1-2-222-1-1-12-1-1-1-111-2-211110000−i3i3−i3i30000000022222-1-2-222-1-1-12-1-1-1-111-2-211110000−i3i3−i3i300000000
χ1322222-1-2-222-1-1-12-1-1-1-111-2-211110000i3−i3i3−i30000000022222-1-2-222-1-1-12-1-1-1-111-2-211110000i3−i3i3−i30000000022222-1-2-222-1-1-12-1-1-1-111-2-211110000i3−i3i3−i30000000022222-1-2-222-1-1-12-1-1-1-111-2-211110000i3−i3i3−i300000000
χ142222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100220000-1-1-1-10000
χ152222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-20000111100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-20000111100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-20000111100002222-1222-1-1222-1-1-1-1-122-1-1-1-1-1-100-2-2000011110000
χ162222-12-2-2-1-1222-1-1-1-1-1-2-211111100000000−i3i3−i3i300002222-12-2-2-1-1222-1-1-1-1-1-2-211111100000000−i3i3−i3i300002222-12-2-2-1-1222-1-1-1-1-1-2-211111100000000−i3i3−i3i300002222-12-2-2-1-1222-1-1-1-1-1-2-211111100000000−i3i3−i3i30000
χ172222-12-2-2-1-1222-1-1-1-1-1-2-211111100000000i3−i3i3−i300002222-12-2-2-1-1222-1-1-1-1-1-2-211111100000000i3−i3i3−i300002222-12-2-2-1-1222-1-1-1-1-1-2-211111100000000i3−i3i3−i300002222-12-2-2-1-1222-1-1-1-1-1-2-211111100000000i3−i3i3−i30000
χ1822-2-222002-22-2-2-222-2-2000000000000000000002−22−222-2-222002-22-2-2-222-2-2000000000000000000002−22−222-2-222002-22-2-2-222-2-2000000000000000000002−22−222-2-222002-22-2-2-222-2-2000000000000000000002−22−2
χ1922-2-222002-22-2-2-222-2-200000000000000000000−22−2222-2-222002-22-2-2-222-2-200000000000000000000−22−2222-2-222002-22-2-2-222-2-200000000000000000000−22−2222-2-222002-22-2-2-222-2-200000000000000000000−22−22
χ202-22-22200-22-2-22-22-22-200000000000000000000−i2i2i2−i22-22-22200-22-2-22-22-22-200000000000000000000−i2i2i2−i22-22-22200-22-2-22-22-22-200000000000000000000−i2i2i2−i22-22-22200-22-2-22-22-22-200000000000000000000−i2i2i2−i2
χ212-22-22200-22-2-22-22-22-200000000000000000000i2−i2−i2i22-22-22200-22-2-22-22-22-200000000000000000000i2−i2−i2i22-22-22200-22-2-22-22-22-200000000000000000000i2−i2−i2i22-22-22200-22-2-22-22-22-200000000000000000000i2−i2−i2i2
χ222-2-2222-22-2-2-22-222-2-22-22-22-2-22200000000000000002-2-2222-22-2-2-22-222-2-22-22-22-2-22200000000000000002-2-2222-22-2-2-22-222-2-22-22-22-2-22200000000000000002-2-2222-22-2-2-22-222-2-22-22-22-2-2220000000000000000
χ232-2-222-12-2-2-21-112-111-1-112-2-1-1112i−2i00−i−iii000000002-2-222-12-2-2-21-112-111-1-112-2-1-1112i−2i00−i−iii000000002-2-222-12-2-2-21-112-111-1-112-2-1-1112i−2i00−i−iii000000002-2-222-12-2-2-21-112-111-1-112-2-1-1112i−2i00−i−iii00000000
χ242-2-222-12-2-2-21-112-111-1-112-2-1-111−2i2i00ii−i−i000000002-2-222-12-2-2-21-112-111-1-112-2-1-111−2i2i00ii−i−i000000002-2-222-12-2-2-21-112-111-1-112-2-1-111−2i2i00ii−i−i000000002-2-222-12-2-2-21-112-111-1-112-2-1-111−2i2i00ii−i−i00000000
χ252-2-222-1-22-2-21-112-111-11-1-2211-1-100003−3−33000000002-2-222-1-22-2-21-112-111-11-1-2211-1-100003−3−33000000002-2-222-1-22-2-21-112-111-11-1-2211-1-100003−3−33000000002-2-222-1-22-2-21-112-111-11-1-2211-1-100003−3−3300000000
χ262-2-222-1-22-2-21-112-111-11-1-2211-1-10000−333−3000000002-2-222-1-22-2-21-112-111-11-1-2211-1-10000−333−3000000002-2-222-1-22-2-21-112-111-11-1-2211-1-10000−333−3000000002-2-222-1-22-2-21-112-111-11-1-2211-1-10000−333−300000000
χ272-2-22-122-211-22-2-1-111-12-2-11-1-111002-20000-1-11100002-2-22-122-211-22-2-1-111-12-2-11-1-111002-20000-1-11100002-2-22-122-211-22-2-1-111-12-2-11-1-111002-20000-1-11100002-2-22-122-211-22-2-1-111-12-2-11-1-111002-20000-1-1110000
χ282-2-22-122-211-22-2-1-111-12-2-11-1-11100-22000011-1-100002-2-22-122-211-22-2-1-111-12-2-11-1-11100-22000011-1-100002-2-22-122-211-22-2-1-111-12-2-11-1-11100-22000011-1-100002-2-22-122-211-22-2-1-111-12-2-11-1-11100-22000011-1-10000
χ292-2-22-12-2211-22-2-1-111-1-221-111-1-100000000−i3i3i3−i300002-2-22-12-2211-22-2-1-111-1-221-111-1-100000000−i3i3i3−i300002-2-22-12-2211-22-2-1-111-1-221-111-1-100000000−i3i3i3−i300002-2-22-12-2211-22-2-1-111-1-221-111-1-100000000−i3i3i3−i30000
χ302-2-22-12-2211-22-2-1-111-1-221-111-1-100000000i3−i3−i3i300002-2-22-12-2211-22-2-1-111-1-221-111-1-100000000i3−i3−i3i300002-2-22-12-2211-22-2-1-111-1-221-111-1-100000000i3−i3−i3i300002-2-22-12-2211-22-2-1-111-1-221-111-1-100000000i3−i3−i3i30000
χ314444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-211110000000000000000
χ324444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-10000000000000000
χ3344-4-44-2004-4-222-4-2-22200000000000000000000000044-4-44-2004-4-222-4-2-22200000000000000000000000044-4-44-2004-4-222-4-2-22200000000000000000000000044-4-44-2004-4-222-4-2-222000000000000000000000000
χ3444-4-4-2400-224-4-42-2-22200000000000000000000000044-4-4-2400-224-4-42-2-22200000000000000000000000044-4-4-2400-224-4-42-2-22200000000000000000000000044-4-4-2400-224-4-42-2-222000000000000000000000000
χ3544-4-4-2-200-22-222211-1-100003i−3i3i−3i000000000000000044-4-4-2-200-22-222211-1-100003i−3i3i−3i000000000000000044-4-4-2-200-22-222211-1-100003i−3i3i−3i000000000000000044-4-4-2-200-22-222211-1-100003i−3i3i−3i0000000000000000
χ3644-4-4-2-200-22-222211-1-10000−3i3i−3i3i000000000000000044-4-4-2-200-22-222211-1-10000−3i3i−3i3i000000000000000044-4-4-2-200-22-222211-1-10000−3i3i−3i3i000000000000000044-4-4-2-200-22-222211-1-10000−3i3i−3i3i0000000000000000
χ374-44-44-200-4422-2-4-22-220000000000000000000000004-44-44-200-4422-2-4-22-220000000000000000000000004-44-44-200-4422-2-4-22-220000000000000000000000004-44-44-200-4422-2-4-22-22000000000000000000000000
χ384-44-4-24002-2-4-442-22-220000000000000000000000004-44-4-24002-2-4-442-22-220000000000000000000000004-44-4-24002-2-4-442-22-220000000000000000000000004-44-4-24002-2-4-442-22-22000000000000000000000000
χ394-44-4-2-2002-222-221-11-100003i−3i−3i3i00000000000000004-44-4-2-2002-222-221-11-100003i−3i−3i3i00000000000000004-44-4-2-2002-222-221-11-100003i−3i−3i3i00000000000000004-44-4-2-2002-222-221-11-100003i−3i−3i3i0000000000000000
χ404-44-4-2-2002-222-221-11-10000−3i3i3i−3i00000000000000004-44-4-2-2002-222-221-11-10000−3i3i3i−3i00000000000000004-44-4-2-2002-222-221-11-10000−3i3i3i−3i00000000000000004-44-4-2-2002-222-221-11-10000−3i3i3i−3i0000000000000000
χ414-4-44-2-24-4222-22-21-1-11-22-2211-1-100000000000000004-4-44-2-24-4222-22-21-1-11-22-2211-1-100000000000000004-4-44-2-24-4222-22-21-1-11-22-2211-1-100000000000000004-4-44-2-24-4222-22-21-1-11-22-2211-1-10000000000000000
χ424-4-44-2-2-44222-22-21-1-112-22-2-1-11100000000000000004-4-44-2-2-44222-22-21-1-112-22-2-1-11100000000000000004-4-44-2-2-44222-22-21-1-112-22-2-1-11100000000000000004-4-44-2-2-44222-22-21-1-112-22-2-1-1110000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ4511111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ4611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ471-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i1-1ii−i−i11-1-1ii−i−i-111-1-1-1-11111-11-1-111-1-11-11-1-111−ii-11−i−iii-1-111−i−iii1-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i1-1ii−i−i11-1-1ii−i−i-111-1-1-1-11111-11-1-111-1-11-11-1-111−ii-11−i−iii-1-111−i−iii
χ481-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i-11ii−i−i-1-111−i−iii-111-1-1-1-11111-11-1-111-1-11-11-1-111−ii1-1−i−iii11-1-1ii−i−i1-1-11111-1-1-1-11-111-1-111-11-111-1-1i−i-11ii−i−i-1-111−i−iii-111-1-1-1-11111-11-1-111-1-11-11-1-111−ii1-1−i−iii11-1-1ii−i−i
χ491-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii1-1−i−iii11-1-1−i−iii-111-1-1-1-11111-11-1-111-1-11-11-1-111i−i-11ii−i−i-1-111ii−i−i1-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii1-1−i−iii11-1-1−i−iii-111-1-1-1-11111-11-1-111-1-11-11-1-111i−i-11ii−i−i-1-111ii−i−i
χ501-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii-11−i−iii-1-111ii−i−i-111-1-1-1-11111-11-1-111-1-11-11-1-111i−i1-1ii−i−i11-1-1−i−iii1-1-11111-1-1-1-11-111-1-111-11-111-1-1−ii-11−i−iii-1-111ii−i−i-111-1-1-1-11111-11-1-111-1-11-11-1-111i−i1-1ii−i−i11-1-1−i−iii
χ51222222-2-22222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222220000000000000000222222-2-22222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222220000000000000000
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χ1654-44-4-2-2002-222-221-11-100003i−3i−3i3i0000000000000000-44-442200-22-2-22-2-11-110000−3i3i3i−3i0000000000000000-44-442200-22-2-22-2-11-110000−3i3i3i−3i00000000000000004-44-4-2-2002-222-221-11-100003i−3i−3i3i0000000000000000
χ1664-44-4-2-2002-222-221-11-10000−3i3i3i−3i0000000000000000-44-442200-22-2-22-2-11-1100003i−3i−3i3i0000000000000000-44-442200-22-2-22-2-11-1100003i−3i−3i3i00000000000000004-44-4-2-2002-222-221-11-10000−3i3i3i−3i0000000000000000
χ1674-4-44-2-24-4222-22-21-1-11-22-2211-1-10000000000000000-444-422-44-2-2-22-22-111-12-22-2-1-1110000000000000000-444-422-44-2-2-22-22-111-12-22-2-1-11100000000000000004-4-44-2-24-4222-22-21-1-11-22-2211-1-10000000000000000
χ1684-4-44-2-2-44222-22-21-1-112-22-2-1-1110000000000000000-444-4224-4-2-2-22-22-111-1-22-2211-1-10000000000000000-444-4224-4-2-2-22-22-111-1-22-2211-1-100000000000000004-4-44-2-2-44222-22-21-1-112-22-2-1-1110000000000000000

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