Finite Group Databasebeta

← Group #11884112

Character table — Group #11884112

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222444444444444444444444444488888888888888888881212121212121212121212121212121212122424242424242424242424242424243636727272
order12222233446666661212121223444466666666612121212121212121212666661212121212121212121212121212448888121212122424242424242424444881212121212122424242422244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111-11-1-11-11111-1-1111-1-111111111-111-1-1-1-1-1-11-1-1-1-1-111-1-1111111111111111111-11-1-1-1-1-111-1-1-1-1-1-1111-1-1
χ611111111111111111111-11-1-11-11111-1-1111-1-111111111-111-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-111
χ711111111111111111111-11-1-11-11111-1-1111-1-111111111-111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-11-1-111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-11-1-11-11111-1-1111-1-111111111-111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1111111111-1-1
χ91111-1-11111111111111111-1-1-11-1-1-1-111111-1-1-1-11111111-1-111-1-11-1-11-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1
χ101111-1-11111111111111111-1-1-11-1-1-1-111111-1-1-1-11111111-1-111-1-11-1-11-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-11-11-1-1-1-111-1-11111-1-11
χ111111-1-11111111111111111-1-1-11-1-1-1-111111-1-1-1-11111111-1-111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-11-11111-1-111-1-111-1-11
χ121111-1-11111111111111111-1-1-11-1-1-1-111111-1-1-1-11111111-1-111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-111-1-111-1
χ131111-1-111111111111111-1111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-111-11-1-11111-1-1-1-11111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-111-1-11-11
χ141111-1-111111111111111-1111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-111-11-1-11111-1-1-1-111-1-1111111-1-1-1-111111-1-11-111-1-1-1-111-1-111-11-1
χ151111-1-111111111111111-1111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-111-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-11-1-11111-1-11111-11-1
χ161111-1-111111111111111-1111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1111111-1-1-1-11-11
χ1722222222-2-2222222-2-2-2-2222-2-2-222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-222-2-2-2-2-2-200000000000000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-22-22-222222-2-2222-2-2-2-2-2-2-2-2-2-2-222-2-2-2222-22-2-222-2-22200000000000000000000000000000000000000
χ192222222-12222-12-1-122222-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-10000000022200-1-1-1-1-1-1000000000
χ202222222-12222-12-1-122222-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-20000111100000000-2-2-200111111000000000
χ212222222-12222-12-1-12222-2-1-2-22-222-1-111-1-1-11122-1-1-1-1-1-1-2-1-111-2-2-21-111111-1-111220000-1-1-1-100000000-22-20011-1-111000000000
χ222222222-12222-12-1-12222-2-1-2-22-222-1-111-1-1-11122-1-1-1-1-1-1-2-1-111-2-2-21-111111-1-111-2-200001111000000002-2200-1-111-1-1000000000
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χ242222222-1-2-222-12-1-1-2-2-2-22-12-2-2-222-1-1-1-1-1-1-1-1-1-2-21111112-1-1-1-12-2-2111-1-1111111000000i3i3−i3−i30000000000000i3−i3i3−i3i3−i3000000000
χ252222222-1-2-222-12-1-1-2-2-2-2-2-1-22-2222-1-111-1-1-111-2-2111111-2-1-111-222-11-111-1-111-1-1000000−i3−i3i3i30000000000000i3−i3−i3i3i3−i3000000000
χ262222222-1-2-222-12-1-1-2-2-2-2-2-1-22-2222-1-111-1-1-111-2-2111111-2-1-111-222-11-111-1-111-1-1000000i3i3−i3−i30000000000000−i3i3i3−i3−i3i3000000000
χ27222222-1222-1-12-122-1-1-1-12-12222-1-12222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100022000000-1-1-1-100000
χ28222222-1222-1-12-122-1-1-1-12-12222-1-12222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100-2-2-2-2000011111111000-2-2000000111100000
χ29222222-1222-1-12-122-1-1-1-1-2-1-2-22-2-1-122-2-2-1-1-1-2-2-1-122-1-1-1-11-1-111111-22-21111-1-1110022220000-1-1-1-1-1-1-1-1000-2-2000000111100000
χ30222222-1222-1-12-122-1-1-1-1-2-1-2-22-2-1-122-2-2-1-1-1-2-2-1-122-1-1-1-11-1-111111-22-21111-1-11100-2-2-2-200001111111100022000000-1-1-1-100000
χ31222222-12-2-2-1-12-12211112-12-2-2-2-1-12222-1-1-12211-2-21111-1-1-1-1-1-111-2-2-2-1-1111111000000000033−3−333−3−3000000000003−33−300000
χ32222222-12-2-2-1-12-12211112-12-2-2-2-1-12222-1-1-12211-2-21111-1-1-1-1-1-111-2-2-2-1-11111110000000000−3−333−3−33300000000000−33−3300000
χ33222222-12-2-2-1-12-1221111-2-1-22-22-1-122-2-2-1-1-1-2-211-2-211111-1-1111-1-12-2211-1-111-1-1000000000033−3−333−3−300000000000−33−3300000
χ34222222-12-2-2-1-12-1221111-2-1-22-22-1-122-2-2-1-1-1-2-211-2-211111-1-1111-1-12-2211-1-111-1-10000000000−3−333−3−333000000000003−33−300000
χ352222-2-222-2-2222222-2-2-2-222-222-2-2-2-2-222222-2-222-2-2-2-2-2-22-2-222-22-222-2-2-22222-2-200000000000000000000000000000000000000
χ362222-2-222-2-2222222-2-2-2-2-222-222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-22-22-22222-2-2222200000000000000000000000000000000000000
χ372222-2-22-12222-12-1-122222-1-2-2-22-2-211-1-1-1-1-111-2-2-1-1-1-1-1-1211-1-1-2-2211-1111111-1-1220000-1-1-1-100000000-2-22001111-1-1000000000
χ382222-2-22-12222-12-1-122222-1-2-2-22-2-211-1-1-1-1-111-2-2-1-1-1-1-1-1211-1-1-2-2211-1111111-1-1-2-2000011110000000022-200-1-1-1-111000000000
χ392222-2-22-12222-12-1-12222-2-122-2-2-2-21111-1-1-1-1-1-2-2-1-1-1-1-1-1-2111122-2-111-1-1-1-11111220000-1-1-1-1000000002-2-200-1-11111000000000
χ402222-2-22-12222-12-1-12222-2-122-2-2-2-21111-1-1-1-1-1-2-2-1-1-1-1-1-1-2111122-2-111-1-1-1-11111-2-20000111100000000-2220011-1-1-1-1000000000
χ412222-2-22-1-2-222-12-1-1-2-2-2-22-1-222-2-2-211-1-1-1-1-11122111111211-1-1-22-2-1-1111-1-1-1-111000000−i3−i3i3i30000000000000i3−i3i3−i3−i3i3000000000
χ422222-2-22-1-2-222-12-1-1-2-2-2-22-1-222-2-2-211-1-1-1-1-11122111111211-1-1-22-2-1-1111-1-1-1-111000000i3i3−i3−i30000000000000−i3i3−i3i3i3−i3000000000
χ432222-2-22-1-2-222-12-1-1-2-2-2-2-2-12-222-2-21111-1-1-1-1-122111111-211112-221-1-1-1-111-1-1-1-1000000−i3−i3i3i30000000000000−i3i3i3−i3i3−i3000000000
χ442222-2-22-1-2-222-12-1-1-2-2-2-2-2-12-222-2-21111-1-1-1-1-122111111-211112-221-1-1-1-111-1-1-1-1000000i3i3−i3−i30000000000000i3−i3−i3i3−i3i3000000000
χ452222-2-2-1222-1-12-122-1-1-1-12-1-2-2-2211-2-222-1-1-1-2-21122-1-1-1-1-111-1-111-1-2-22111111-1-10022-2-20000-1-1-1-111110002-2000000-1-11100000
χ462222-2-2-1222-1-12-122-1-1-1-12-1-2-2-2211-2-222-1-1-1-2-21122-1-1-1-1-111-1-111-1-2-22111111-1-100-2-22200001111-1-1-1-1000-2200000011-1-100000
χ472222-2-2-1222-1-12-122-1-1-1-1-2-122-2-211-2-2-2-2-1-1-1221122-1-1-1-111111-1-112-2-2-1-1-1-111110022-2-20000-1-1-1-11111000-2200000011-1-100000
χ482222-2-2-1222-1-12-122-1-1-1-1-2-122-2-211-2-2-2-2-1-1-1221122-1-1-1-111111-1-112-2-2-1-1-1-1111100-2-22200001111-1-1-1-10002-2000000-1-11100000
χ492222-2-2-12-2-2-1-12-12211112-1-222-211-2-222-1-1-1-2-2-1-1-2-21111-111-1-11-1122-211-1-1-1-111000000000033−3−3−3−333000000000003−3−3300000
χ502222-2-2-12-2-2-1-12-12211112-1-222-211-2-222-1-1-1-2-2-1-1-2-21111-111-1-11-1122-211-1-1-1-1110000000000−3−33333−3−300000000000−333−300000
χ512222-2-2-12-2-2-1-12-1221111-2-12-22211-2-2-2-2-1-1-122-1-1-2-2111111111-11-1-222-1-111-1-1-1-1000000000033−3−3−3−33300000000000−333−300000
χ522222-2-2-12-2-2-1-12-1221111-2-12-22211-2-2-2-2-1-1-122-1-1-2-2111111111-11-1-222-1-111-1-1-1-10000000000−3−33333−3−3000000000003−3−3300000
χ532-2-220022-22-2-2-22-22-2-222020000000000-2-2200002-222-2-200000000000000000002-2002-22-22-200002-22-20000000000000002-2000
χ542-2-220022-22-2-2-22-22-2-222020000000000-2-2200002-222-2-200000000000000000002-200-222-22-20000-22-22000000000000000-22000
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χ57444444-2-244-2-2-2-2-2-2-2-2-2-2414444-2-2-2-2-2-2111-2-2-2-2-2-21111-21111-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-2-2-2-2-41-4-44-4-2-2-2-22211122-2-2-2-21111211-1-12222-22-1-1-1-111-1-100000000000000000000000000000000000000
χ59444444-2-2-4-4-2-2-2-2-2-22222414-4-4-4-2-2-2-2-2-2111-2-22222-1-1-1-1-21111-22222211-1-1-1-1-1-100000000000000000000000000000000000000
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χ998-88-800-4-4004-444-4443−43−4343020000000000-22-200000023−23−2323000000000000000000000000000000000000000000000000000000000
χ1008-88-800-4-4004-444-44−434343−43020000000000-22-2000000−232323−23000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-48-8444-44-4-4-444020000000000-2-2200004-4-2-222000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4-88444-44-444-4-4020000000000-2-220000-4422-2-2000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.