Finite Group Databasebeta

← Group #11785589

Character table — Group #11785589

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222334444666666666688881212121236666666668812121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444488881212121212121212242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-1-111-1111-1-1111-1-1-1-111-1-111-1-111-1-111-111-1-1-1-111-11-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-111-1-1
χ101-1-111-1111-1-1111-1-1-1-111-1-111-1-111-1-111-111-1-1-1-111-11-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-11-11-1-111
χ111-1-111-1111-1-1111-1-1-1-111-1-111-1-111-1-111-111-1-1-1-111-11-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-11-11-1-111
χ121-1-111-1111-1-1111-1-1-1-111-1-111-1-111-1-111-111-1-1-1-111-11-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-111-1-1
χ131-1-111-1111-1-1111-1-1-1-111-1-1-1-11111-1-111-111-1-1-1-11-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-11-1-1-111
χ141-1-111-1111-1-1111-1-1-1-111-1-1-1-11111-1-111-111-1-1-1-11-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-1111-1-1
χ151-1-111-1111-1-1111-1-1-1-111-1-1-1-11111-1-111-111-1-1-1-11-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-1111-1-1
χ161-1-111-1111-1-1111-1-1-1-111-1-1-1-11111-1-111-111-1-1-1-11-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-11-1-1-111
χ1722222222-2-2-2-222222222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ1822222222-2-2-2-222222222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ192222222-122222222-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ202222222-122222222-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ212222222-122222222-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000022-2-200000000-1-1-1-1111100000000
χ222222222-122222222-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-222000000001111-1-1-1-100000000
χ23222222-122222-1-1-1-122-12-1-122222222-122-1-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ24222222-122222-1-1-1-122-12-1-122222222-122-1-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ25222222-122222-1-1-1-122-12-1-1-2-2-2-22222-122-1-1-1-1-1-1-1-2-2-1-1-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-20000-1-1-1-111110000000000000000
χ26222222-122222-1-1-1-122-12-1-1-2-2-2-22222-122-1-1-1-1-1-1-1-2-2-1-1-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-22200001111-1-1-1-10000000000000000
χ272222-2-2222-22-2-2-2-2-2222222000022222-2-2-2-222-2-220022-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ282222-2-2222-22-2-2-2-2-2222222000022222-2-2-2-222-2-220022-2-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ292222-2-222-22-22-2-2-2-22222222222-2-2-2-22-2-2-2-222-2-22-2-2-2-222-2-2-2-222222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ302222-2-222-22-22-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-222-2-2222-2-222-2-2-2-2222222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ312222-2-22-1-22-22-2-2-2-2-1-12-12222221111-11111-1-111-1-2-2-2-22-11111-1-12-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000000000003−33−33−33−300000000
χ322222-2-22-1-22-22-2-2-2-2-1-12-12222221111-11111-1-111-1-2-2-2-22-11111-1-12-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000−33−33−33−3300000000
χ332222-2-22-1-22-22-2-2-2-2-1-12-122-2-2-2-21111-11111-1-111-122-2-22-11111-1-12-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000000000003−33−3−33−3300000000
χ342222-2-22-1-22-22-2-2-2-2-1-12-122-2-2-2-21111-11111-1-111-122-2-22-11111-1-12-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000−33−333−33−300000000
χ352222-2-2-12-22-22111122-12-1-12222-2-2-2-2-1-2-211-1-111-1-2-211-121111-1-1-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-1111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ362222-2-2-12-22-22111122-12-1-12222-2-2-2-2-1-2-211-1-111-1-2-211-121111-1-1-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-1111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ372222-2-2-12-22-22111122-12-1-1-2-2-2-2-2-2-2-2-1-2-211-1-111-12211-121111-1-1-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ382222-2-2-12-22-22111122-12-1-1-2-2-2-2-2-2-2-2-1-2-211-1-111-12211-121111-1-1-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ392-2-222-222-222-222-2-2-2-222-2-20000-2-22222-222-2-2-2-2200-2222-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ402-2-222-222-222-222-2-2-2-222-2-20000-2-22222-222-2-2-2-2200-2222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ412-2-222-22-12-2-2222-2-2112-1-2-222-2-2-1-111-1-11-1-11111-12-22-2-21-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ422-2-222-22-12-2-2222-2-2112-1-2-222-2-2-1-111-1-11-1-11111-12-22-2-21-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ432-2-222-22-12-2-2222-2-2112-1-2-2-2-222-1-111-1-11-1-11111-1-222-2-21-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ442-2-222-22-12-2-2222-2-2112-1-2-2-2-222-1-111-1-11-1-11111-1-222-2-21-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ452-2-222-2-122-2-22-1-111-2-2-121122-2-222-2-2-12-2-1-11111-12-2-111-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i−2i2i−2i0000−i−iii−i−iii0000000000000000
χ462-2-222-2-122-2-22-1-111-2-2-121122-2-222-2-2-12-2-1-11111-12-2-111-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i2i−2i2i0000ii−i−iii−i−i0000000000000000
χ472-2-222-2-122-2-22-1-111-2-2-1211-2-22222-2-2-12-2-1-11111-1-22-111-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i−2i−2i2i0000−i−iiiii−i−i0000000000000000
χ482-2-222-2-122-2-22-1-111-2-2-1211-2-22222-2-2-12-2-1-11111-1-22-111-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i2i2i−2i0000ii−i−i−i−iii0000000000000000
χ492-2-22-222222-2-2-2-222-2-222-2-2000022-2-22-22-2-2-2-2222002-22222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000002-2-220000
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χ512-2-22-2222-2-222-2-222-2-222-2-222-2-2-2-2222-22-2-2-2-2222-22-22-2-2-2-222-2-2222222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ522-2-22-2222-2-222-2-222-2-222-2-2-2-222-2-2222-22-2-2-2-22222-2-22-2-2-2-222-2-22222-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ532-2-22-222-1-2-222-2-222112-1-2-222-2-211-1-1-11-11111-1-1-1-22-22-2111-1-1112-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-10000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ542-2-22-222-1-2-222-2-222112-1-2-222-2-211-1-1-11-11111-1-1-1-22-22-2111-1-1112-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-10000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ552-2-22-222-1-2-222-2-222112-1-2-2-2-22211-1-1-11-11111-1-1-12-2-22-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-111110000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ562-2-22-222-1-2-222-2-222112-1-2-2-2-22211-1-1-11-11111-1-1-12-2-22-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-111110000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ572-2-22-22-12-2-22211-1-1-2-2-121122-2-2-2-222-1-221111-1-1-1-221-11-211-1-111-12-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-1000000003−3−333−3−330000000000000000
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χ64444444-2-24444-2-2-2-2-2-2-2-2-2-2-4-4-4-4-2-2-2-21-2-21111111-4-4-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
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χ714444-4-4-2-2-44-442222-2-2-2-2-2-244442222122-1-111-1-11-4-422-2-2-1-1-1-111-2-211-2-222-2-2221111-1-1-1-1-2-222-2-2221111-1-1-1-100000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.