Finite Group Databasebeta

← Group #11859953

Character table — Group #11859953

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222244444444444444444444444444449999121212121212121218181818181824242424242424241111222222222222224444444444444444444444444444999912121212121212121818181818182424242424242424
order1222334466666688883666121212121212121224242424242424242424242424242424444444444444448888121212121212121222226644666666888866661212121212121212242424242424242424242424242424244444444444444488881212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1
χ811111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ91-11-1111-1-1-1-11-1111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i1-11-1i−ii−ii−iii−i−ii−ii−i1-11-11-11-1111-1-1-1-11-1111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i1-11-1i−ii−ii−iii−i−ii−ii−i1-11-1
χ101-11-1111-1-1-1-11-1111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i-11-11−ii−iii−iii−i−i−ii−ii-11-111-11-1111-1-1-1-11-1111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i-11-11−ii−iii−iii−i−i−ii−ii-11-11
χ111-11-1111-1-1-1-11-1111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii1-11-1−ii−ii−ii−i−iii−ii−ii1-11-11-11-1111-1-1-1-11-1111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii1-11-1−ii−ii−ii−i−iii−ii−ii1-11-1
χ121-11-1111-1-1-1-11-1111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii-11-11i−ii−i−ii−i−iiii−ii−i-11-111-11-1111-1-1-1-11-1111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii-11-11i−ii−i−ii−i−iiii−ii−i-11-11
χ131-11-1111-1-1-1-11-11-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i1-1-11i−i−iii−i−i−iiii−i−ii1-1-111-11-1111-1-1-1-11-11-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i1-1-11i−i−iii−i−i−iiii−i−ii1-1-11
χ141-11-1111-1-1-1-11-11-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i-111-1−iii−ii−i−i−iii−iii−i-111-11-11-1111-1-1-1-11-11-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i-111-1−iii−ii−i−i−iii−iii−i-111-1
χ151-11-1111-1-1-1-11-11-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii1-1-11−iii−i−iiii−i−i−iii−i1-1-111-11-1111-1-1-1-11-11-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii1-1-11−iii−i−iiii−i−i−iii−i1-1-11
χ161-11-1111-1-1-1-11-11-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii-111-1i−i−ii−iiii−i−ii−i−ii-111-11-11-1111-1-1-1-11-11-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii-111-1i−i−ii−iiii−i−ii−i−ii-111-1
χ17222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000222200000000-2-2000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000222200000000-2-2000000000000
χ18222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000022000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000022000000000000
χ1922222-12222-1-1-122222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000002222000000-1-1-1-1000022222-12222-1-1-122222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000002222000000-1-1-1-10000
χ2022222-12222-1-1-122222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-20000001111000022222-12222-1-1-122222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000011110000
χ2122222-12222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2111111-2-21111110000000022-2-2000000-1-111000022222-12222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2111111-2-21111110000000022-2-2000000-1-1110000
χ2222222-12222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2111111-2-211111100000000-2-22200000011-1-1000022222-12222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2111111-2-211111100000000-2-22200000011-1-10000
χ232222-1222-1-1222-12222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000000000000-1-1-1-12222-1222-1-1222-12222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000000000000-1-1-1-1
χ242222-1222-1-1222-12222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000000000000011112222-1222-1-1222-12222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000000000001111
χ252222-1222-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-111-2-2111111-2-21111000022-2-200000000000000-1-1112222-1222-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-111-2-2111111-2-21111000022-2-200000000000000-1-111
χ262222-1222-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-111-2-2111111-2-211110000-2-2220000000000000011-1-12222-1222-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-111-2-2111111-2-211110000-2-2220000000000000011-1-1
χ2722-2-222002-22-2-2-22−22−222-2-2000000002−22−222−2−22−22−222−2−22-22-200000000002−22−20000000022-2-222002-22-2-2-22−22−222-2-2000000002−22−222−2−22−22−222−2−22-22-200000000002−22−200000000
χ2822-2-222002-22-2-2-22−22−222-2-2000000002−22−222−2−22−22−222−2−2-22-220000000000−22−220000000022-2-222002-22-2-2-22−22−222-2-2000000002−22−222−2−22−22−222−2−2-22-220000000000−22−2200000000
χ2922-2-222002-22-2-2-2−22−2222-2-200000000−22−22−2−222−22−22−2−2222-22-20000000000−22−220000000022-2-222002-22-2-2-2−22−2222-2-200000000−22−22−2−222−22−22−2−2222-22-20000000000−22−2200000000
χ3022-2-222002-22-2-2-2−22−2222-2-200000000−22−22−2−222−22−22−2−222-22-2200000000002−22−20000000022-2-222002-22-2-2-2−22−2222-2-200000000−22−22−2−222−22−22−2−222-22-2200000000002−22−200000000
χ312-22-222-22-2-2-22-2200002-2-222222-2-2-2-200000000000000002i2i−2i−2i00000000−2i2i0000000000002-22-222-22-2-2-22-2200002-2-222222-2-2-2-200000000000000002i2i−2i−2i00000000−2i2i000000000000
χ322-22-222-22-2-2-22-2200002-2-222222-2-2-2-20000000000000000−2i−2i2i2i000000002i−2i0000000000002-22-222-22-2-2-22-2200002-2-222222-2-2-2-20000000000000000−2i−2i2i2i000000002i−2i000000000000
χ332-22-22-12-2-2-21-11222-2-2-111-11-211-12-1-122-1-1-1-1-1-1-2-2111111000000002i−2i2i−2i000000−ii−ii00002-22-22-12-2-2-21-11222-2-2-111-11-211-12-1-122-1-1-1-1-1-1-2-2111111000000002i−2i2i−2i000000−ii−ii0000
χ342-22-22-12-2-2-21-11222-2-2-111-11-211-12-1-122-1-1-1-1-1-1-2-211111100000000−2i2i−2i2i000000i−ii−i00002-22-22-12-2-2-21-11222-2-2-111-11-211-12-1-122-1-1-1-1-1-1-2-211111100000000−2i2i−2i2i000000i−ii−i0000
χ352-22-22-12-2-2-21-112-2-222-111-11-211-12-1-1-2-211111122-1-1-1-1-1-1000000002i−2i−2i2i000000−iii−i00002-22-22-12-2-2-21-112-2-222-111-11-211-12-1-1-2-211111122-1-1-1-1-1-1000000002i−2i−2i2i000000−iii−i0000
χ362-22-22-12-2-2-21-112-2-222-111-11-211-12-1-1-2-211111122-1-1-1-1-1-100000000−2i2i2i−2i000000i−i−ii00002-22-22-12-2-2-21-112-2-222-111-11-211-12-1-1-2-211111122-1-1-1-1-1-100000000−2i2i2i−2i000000i−i−ii0000
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χ382-22-2-122-211-22-2-122-2-2-111-1-21112-1-1-1-1-122-1-1-1-111-2-211110000-22-22000000000000001-11-12-22-2-122-211-22-2-122-2-2-111-1-21112-1-1-1-1-122-1-1-1-111-2-211110000-22-22000000000000001-11-1
χ392-22-2-122-211-22-2-1-2-222-111-1-21112-1-1-111-2-21111-1-122-1-1-1-100002-2-2200000000000000-111-12-22-2-122-211-22-2-1-2-222-111-1-21112-1-1-111-2-21111-1-122-1-1-1-100002-2-2200000000000000-111-1
χ402-22-2-122-211-22-2-1-2-222-111-1-21112-1-1-111-2-21111-1-122-1-1-1-10000-222-2000000000000001-1-112-22-2-122-211-22-2-1-2-222-111-1-21112-1-1-111-2-21111-1-122-1-1-1-10000-222-2000000000000001-1-11
χ412-2-222200-22-2-22-22−2−222-22-2000000002−22−222−2−2−22−22−2−2222i−2i−2i2i0000000000i2−i2−i2i2000000002-2-222200-22-2-22-22−2−222-22-2000000002−22−222−2−2−22−22−2−2222i−2i−2i2i0000000000i2−i2−i2i200000000
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χ464444-24-4-4-2-2444-20000-2-2-2-2-4222-42220000000000000000000000000000000000000000004444-24-4-4-2-2444-20000-2-2-2-2-4222-4222000000000000000000000000000000000000000000
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χ5544-4-4-2-200-22-222222−2222−2211-1-1003i−3i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000044-4-4-2-200-22-222222−2222−2211-1-1003i−3i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000
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χ5844-4-4-2-200-22-2222−2222−222211-1-100−3i3i00−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000044-4-4-2-200-22-2222−2222−222211-1-100−3i3i00−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000
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χ12544-4-4-2400-224-4-4222−2222−22-2-22200000000−2222−22−2−222−2222−22−2−22200000000000000000000000000-4-4442-4002-2-444-2−2222−222222-2-2000000002−2−222222−2−22−2−222222−2−200000000000000000000000000
χ12644-4-4-2400-224-4-42−2222−2222-2-222000000002−2−222222−2−22−2−222222−2−200000000000000000000000000-4-4442-4002-2-444-222−2222−2222-2-200000000−2222−22−2−222−2222−22−2−22200000000000000000000000000
χ12744-4-4-2-200-22-222222−2222−2211-1-1003i−3i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000-4-44422002-22-2-2-2−2222−2222-1-11100−3i3i00−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000
χ12844-4-4-2-200-22-222222−2222−2211-1-100−3i3i00−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000-4-44422002-22-2-2-2−2222−2222-1-111003i−3i003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000
χ12944-4-4-2-200-22-2222−2222−222211-1-1003i−3i003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000-4-44422002-22-2-2-222−2222−22-1-11100−3i3i00−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ13044-4-4-2-200-22-2222−2222−222211-1-100−3i3i00−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000-4-44422002-22-2-2-222−2222−22-1-111003i−3i003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ1314-44-44-2-44-4-42-2240000-222-2-24-2-22-422000000000000000000000000000000000000000000-44-44-424-444-22-2-400002-2-222-422-24-2-2000000000000000000000000000000000000000000
χ1324-44-4-24-4422-44-4-20000-222-24-2-2-2-4222000000000000000000000000000000000000000000-44-442-44-4-2-24-44200002-2-22-42224-2-2-2000000000000000000000000000000000000000000
χ1334-44-4-2-24-4222-22-244-4-41-1-1122-1-1-2-211-2-2-2-211112222-1-1-1-100000000000000000000000000-44-4422-44-2-2-22-22-4-444-111-1-2-21122-1-12222-1-1-1-1-2-2-2-2111100000000000000000000000000
χ1344-44-4-2-24-4222-22-2-4-4441-1-1122-1-1-2-2112222-1-1-1-1-2-2-2-2111100000000000000000000000000-44-4422-44-2-2-22-2244-4-4-111-1-2-21122-1-1-2-2-2-211112222-1-1-1-100000000000000000000000000
χ1354-44-4-2-2-44222-22-200001-1-11-2-21122-1-100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000-44-44224-4-2-2-22-220000-111-122-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000
χ1364-44-4-2-2-44222-22-200001-1-11-2-21122-1-10000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000-44-44224-4-2-2-22-220000-111-122-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000
χ1374-4-444-200-4422-2-422−22−2222-22-220000000022−22−22−2−222−22222−222−2−200000000000000000000000000-444-4-42004-4-2-224−222222−222-22-200000000−22222−222−2−222−22−22−2−22200000000000000000000000000
χ1384-4-444-200-4422-2-4−222222−22-22-2200000000−22222−222−2−222−22−22−2−22200000000000000000000000000-444-4-42004-4-2-22422−22−22222-22-20000000022−22−22−2−222−22222−222−2−200000000000000000000000000
χ1394-4-44-24002-2-4-44222−22−2222-22-2200000000−2222−22−2−2222−2−222222−2−200000000000000000000000000-444-42-400-2244-4-2−222222−222-22-2000000002−2−222222−2−2−2222−22−2−22200000000000000000000000000
χ1404-4-44-24002-2-4-442−222222−22-22-22000000002−2−222222−2−2−2222−22−2−22200000000000000000000000000-444-42-400-2244-4-222−22−22222-22-200000000−2222−22−2−2222−2−222222−2−200000000000000000000000000
χ1414-4-44-2-2002-222-2222−22−22221-11-1003i−3i00−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000-444-42200-22-2-22-2−222222−22-11-1100−3i3i003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ1424-4-44-2-2002-222-2222−22−22221-11-100−3i3i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000-444-42200-22-2-22-2−222222−22-11-11003i−3i00−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ1434-4-44-2-2002-222-22−222222−221-11-1003i−3i00−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000-444-42200-22-2-22-222−22−2222-11-1100−3i3i003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000
χ1444-4-44-2-2002-222-22−222222−221-11-100−3i3i003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000-444-42200-22-2-22-222−22−2222-11-11003i−3i00−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.