Finite Group Databasebeta

← Group #11783242

Character table — Group #11783242

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212181818181818181811111111222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212121818181818181818
order1222222233444466666666666666366666661212121212121212121212121212121244444444121212121212121212121212121212128888888822222222664444666666666666666666666612121212121212121212121212121212444444441212121212121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ6111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111
χ7111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111
χ8111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ91-1-11-111-11111-1-1-1-1-1-1111-1-1-1111-11-1-111-1-1111-1-111-1-111-1-111-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-1-11-111-11111-1-1-1-1-1-1111-1-1-1111-11-1-111-1-1111-1-111-1-111-1-111-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101-1-11-111-11111-1-1-1-1-1-1111-1-1-1111-11-1-111-1-1111-1-111-1-111-1-111-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-1-11-111-11111-1-1-1-1-1-1111-1-1-1111-11-1-111-1-1111-1-111-1-111-1-111-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111-1-11-111-11111-1-1-1-1-1-1111-1-1-1111-11-1-111-1-1111-1-111-1-111-1-111-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii1-1-11-111-11111-1-1-1-1-1-1111-1-1-1111-11-1-111-1-1111-1-111-1-111-1-111-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121-1-11-111-11111-1-1-1-1-1-1111-1-1-1111-11-1-111-1-1111-1-111-1-111-1-111-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i1-1-11-111-11111-1-1-1-1-1-1111-1-1-1111-11-1-111-1-1111-1-111-1-111-1-111-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131-1-1-111-11111-11-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-1-11111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i1-1-1-111-11111-11-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-1-11111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ141-1-1-111-11111-11-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-1-11111-1-1-1-111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1-1-1-111-11111-11-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-1-11111-1-1-1-111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ151-1-1-111-11111-11-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-1-11111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii1-1-1-111-11111-11-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-1-11111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
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χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222222-1222222-1-122-12-1-12-1-12-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000222222222-1222222-1-122-12-1-12-1-12-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ19222222222-1222222-1-122-12-1-12-1-12-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000222222222-1222222-1-122-12-1-12-1-12-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ20222222222-1-2-2-2-222-1-122-12-1-12-1-12-1-1-1-1-1-1-1-1-21-21-21-211111111100000000−i3i3−i3i3−i3i3−i3i30000000000000000222222222-1-2-2-2-222-1-122-12-1-12-1-12-1-1-1-1-1-1-1-1-21-21-21-211111111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
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χ2222222222-122222-1-122-1-12-122-122-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000000022222222-122222-1-122-1-12-122-122-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2322222222-122222-1-122-1-12-122-122-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000000022222222-122222-1-122-1-12-122-122-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ2422222222-12-2-2-2-2-1-122-1-12-122-122-1-1-1-1-1-1-1-1-11-21-21-21-2111111110000000000000000−i3i3−i3i3−i3i3−i3i30000000022222222-12-2-2-2-2-1-122-1-12-122-122-1-1-1-1-1-1-1-1-11-21-21-21-2111111110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2522222222-12-2-2-2-2-1-122-1-12-122-122-1-1-1-1-1-1-1-1-11-21-21-21-2111111110000000000000000i3−i3i3−i3i3−i3i3−i30000000022222222-12-2-2-2-2-1-122-1-12-122-122-1-1-1-1-1-1-1-1-11-21-21-21-2111111110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ26222-2-22-2-222-222-22222-2-2-2-2-2-222-2-2222-2-2-2-22-2-2-2-22222-2-2-2-2222200000000000000000000000000000000222-2-22-2-222-222-22222-2-2-2-2-2-222-2-2222-2-2-2-22-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ27222-2-22-2-22-12-2-2222-1-1-2-21-2112-11-2-1-1-11111-12-12-1-21-21-1-1-1-111112i2i−2i−2i0000−i−i−i−iiiii0000000000000000222-2-22-2-22-12-2-2222-1-1-2-21-2112-11-2-1-1-11111-12-12-1-21-21-1-1-1-111112i2i−2i−2i0000−i−i−i−iiiii0000000000000000
χ28222-2-22-2-22-12-2-2222-1-1-2-21-2112-11-2-1-1-11111-12-12-1-21-21-1-1-1-11111−2i−2i2i2i0000iiii−i−i−i−i0000000000000000222-2-22-2-22-12-2-2222-1-1-2-21-2112-11-2-1-1-11111-12-12-1-21-21-1-1-1-11111−2i−2i2i2i0000iiii−i−i−i−i0000000000000000
χ29222-2-22-2-22-1-222-222-1-1-2-21-2112-11-2-1-1-11111-1-21-212-12-11111-1-1-1-1000000003−33−3−33−330000000000000000222-2-22-2-22-1-222-222-1-1-2-21-2112-11-2-1-1-11111-1-21-212-12-11111-1-1-1-1000000003−33−3−33−330000000000000000
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χ1412-2-2-222-22-122-22-211-2-211-2-122-12-2-1-11111-1-1-1-121-21-2-12-1-11111-1-100002-2-2200000000-1-11111-1-100000000-2222-2-22-21-2-22-22-1-122-1-121-2-21-2211-1-1-1-11111-2-12-121-211-1-1-1-1110000-222-20000000011-1-1-1-11100000000
χ1422-2-2-222-22-122-22-211-2-211-2-122-12-2-1-11111-1-1-1-121-21-2-12-1-11111-1-10000-222-20000000011-1-1-1-11100000000-2222-2-22-21-2-22-22-1-122-1-121-2-21-2211-1-1-1-11111-2-12-121-211-1-1-1-11100002-2-2200000000-1-11111-1-100000000
χ1432-2-2-222-22-12-22-2211-2-211-2-122-12-2-1-11111-1-1-11-2-12-121-211-1-1-1-1110000000000000000−i3i3i3−i3i3−i3−i3i300000000-2222-2-22-21-22-22-2-1-122-1-121-2-21-2211-1-1-1-1111-121-21-2-12-1-11111-1-10000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ1442-2-2-222-22-12-22-2211-2-211-2-122-12-2-1-11111-1-1-11-2-12-121-211-1-1-1-1110000000000000000i3−i3−i3i3−i3i3i3−i300000000-2222-2-22-21-22-22-2-1-122-1-121-2-21-2211-1-1-1-1111-121-21-2-12-1-11111-1-10000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ14544444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000-4-4-4-4-4-4-4-422-4-4-4-422222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
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χ1664-4-44-444-4-2-2-4-4442222-2-2-2222-2-2-221-1-111-1-1122-2-222-2-2-1-111-1-11100000000000000000000000000000000-444-44-4-442244-4-4-2-2-2-2222-2-2-2222-2-111-1-111-1-2-222-2-22211-1-111-1-100000000000000000000000000000000
χ1674-4-4-444-44-2-24-44-42222222-2-2-2-2-22-21-1-1-1-1111-2-22222-2-211-1-1-1-11100000000000000000000000000000000-4444-4-44-422-44-44-2-2-2-2-2-2-222222-22-11111-1-1-122-2-2-2-222-1-11111-1-100000000000000000000000000000000
χ1684-4-4-444-44-2-2-44-442222222-2-2-2-2-22-21-1-1-1-111122-2-2-2-222-1-11111-1-100000000000000000000000000000000-4444-4-44-4224-44-4-2-2-2-2-2-2-222222-22-11111-1-1-1-2-22222-2-211-1-1-1-11100000000000000000000000000000000

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