Finite Group Databasebeta

← Group #11889093

Character table — Group #11889093

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222444444444444444444444444488888888888888888881212121212121212121212121212121212122424242424242424242424242424243636727272
order122222334466666612121212234444666666666121212121212121212126666612121212121212121212121212122266668888242424242424242422466668812122424242444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1
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
χ511111111111111111111-11-11-1-11111-1-11111111-1-11111-111-1-1-1-1-11-1-1-1-1-1-111-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11
χ611111111111111111111-11-11-1-11111-1-11111111-1-11111-111-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-111-1
χ711111111111111111111-11-11-1-11111-1-11111111-1-11111-111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-111-1-111-1-111-1-1-1-1-1-111-1
χ811111111111111111111-11-11-1-11111-1-11111111-1-11111-111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-11
χ91111-1-11111111111111111-1-11-1-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-1-1-1111-1-1-111-1-1-1-1-111
χ101111-1-11111111111111111-1-11-1-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-11111-11-1-1-111-11-1-1-1-111111-1-1
χ111111-1-11111111111111111-1-11-1-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-1111-1-11-11111-1-1111-1-1
χ121111-1-11111111111111111-1-11-1-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1111-1-1-1111-1-111-1-1-111
χ131111-1-111111111111111-111-1-11-1-1-1-1-1-111111-1-1111111-1-1-1-1-1111-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-1-1-1-1111-1-111-1-11-11
χ141111-1-111111111111111-111-1-11-1-1-1-1-1-111111-1-1111111-1-1-1-1-1111-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-11-11111-1-111-11-1
χ151111-1-111111111111111-111-1-11-1-1-1-1-1-111111-1-1111111-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-11111-11-1-1-1-11111-11-1
χ161111-1-111111111111111-111-1-11-1-1-1-1-1-111111-1-1111111-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111111-1-1-111-1-1-1-11-11
χ1722222222-2-2222222-2-2-2-222-2-2-22222222222-2-2-2-222-2-2-2-2222222-2-2-2-2-222-2-2-2-2-2-200000000000000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-222-22-22222-2-2222-2-2-2-2-2-2-2-2-2-2-222-2-2-222-222-2-222-2-22200000000000000000000000000000000000000
χ192222222-12222-12-1-122222-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000222-1-1-1-100-1-1000000000
χ202222222-12222-12-1-122222-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-21111000000000000-2-2-211110011000000000
χ212222222-12222-12-1-12222-2-1-22-2-222-1-111-1-1-1-1-12211-1-1-1-1-2-1-111-2-21-1-211111-1-11122-1-1-1-10000000000002-2-2-1-1110011000000000
χ222222222-12222-12-1-12222-2-1-22-2-222-1-111-1-1-1-1-12211-1-1-1-1-2-1-111-2-21-1-211111-1-111-2-21111000000000000-22211-1-100-1-1000000000
χ232222222-1-2-222-12-1-1-2-2-2-22-1-2-2-2222-1-1-1-1-1-1-111-2-2-1-111112-1-1-1-12-211-21-1-111111100−i3−i3i3i3000000000000000−i3i3−i3i300−i3i3000000000
χ242222222-1-2-222-12-1-1-2-2-2-22-1-2-2-2222-1-1-1-1-1-1-111-2-2-1-111112-1-1-1-12-211-21-1-111111100i3i3−i3−i3000000000000000i3−i3i3−i300i3−i3000000000
χ252222222-1-2-222-12-1-1-2-2-2-2-2-12-22-222-1-111-1-1-111-2-2111111-2-1-111-22-112-111-1-111-1-100−i3−i3i3i3000000000000000−i3i3i3−i300i3−i3000000000
χ262222222-1-2-222-12-1-1-2-2-2-2-2-12-22-222-1-111-1-1-111-2-2111111-2-1-111-22-112-111-1-111-1-100i3i3−i3−i3000000000000000i3−i3−i3i300−i3i3000000000
χ27222222-1222-1-12-122-1-1-1-12-12222-1-12222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-100000002200-1-1-1-100000
χ28222222-1222-1-12-122-1-1-1-12-12222-1-12222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-1-1000000-2-2-2-2111111110000000-2-200111100000
χ29222222-1222-1-12-122-1-1-1-1-2-1-22-2-2-1-122-2-2-1-1-122-1-1-2-2-1-1-1-11-1-11111-221-21111-1-1110000002222-1-1-1-1-1-1-1-10000000-2-200111100000
χ30222222-1222-1-12-122-1-1-1-1-2-1-22-2-2-1-122-2-2-1-1-122-1-1-2-2-1-1-1-11-1-11111-221-21111-1-111000000-2-2-2-21111111100000002200-1-1-1-100000
χ31222222-12-2-2-1-12-12211112-1-2-2-22-1-12222-1-1-1-2-211221111-1-1-1-1-1-11-2-21-2-1-1111111000000000033−3−333−3−3000000000003−33−300000
χ32222222-12-2-2-1-12-12211112-1-2-2-22-1-12222-1-1-1-2-211221111-1-1-1-1-1-11-2-21-2-1-11111110000000000−3−333−3−33300000000000−33−3300000
χ33222222-12-2-2-1-12-1221111-2-12-22-2-1-122-2-2-1-1-1-2-211-2-211111-1-1111-12-2-1211-1-111-1-1000000000033−3−333−3−300000000000−33−3300000
χ34222222-12-2-2-1-12-1221111-2-12-22-2-1-122-2-2-1-1-1-2-211-2-211111-1-1111-12-2-1211-1-111-1-10000000000−3−333−3−333000000000003−33−300000
χ352222-2-222-2-2222222-2-2-2-22222-2-2-2-2-2-222222-2-222-2-2-2-2-2-22-2-222-2222-2-2-2-22222-2-200000000000000000000000000000000000000
χ362222-2-222-2-2222222-2-2-2-2-22-2222-2-2-2-2-2-2222-2-22222-2-2-2-2-2-2-2-2-22-2-222222-2-2222200000000000000000000000000000000000000
χ372222-2-22-12222-12-1-122222-1-2-22-2-2-211-1-1-1-1-1-1-1-2-211-1-1-1-1211-1-1-2-2112-1111111-1-122-1-1-1-1000000000000-22-211-1-10011000000000
χ382222-2-22-12222-12-1-122222-1-2-22-2-2-211-1-1-1-1-1-1-1-2-211-1-1-1-1211-1-1-2-2112-1111111-1-1-2-211110000000000002-22-1-11100-1-1000000000
χ392222-2-22-12222-12-1-12222-2-12-2-22-2-21111-1-1-1-1-1-2-2-1-1-1-1-1-1-2111122-11-21-1-1-1-1111122-1-1-1-1000000000000-2-22111100-1-1000000000
χ402222-2-22-12222-12-1-12222-2-12-2-22-2-21111-1-1-1-1-1-2-2-1-1-1-1-1-1-2111122-11-21-1-1-1-11111-2-2111100000000000022-2-1-1-1-10011000000000
χ412222-2-22-1-2-222-12-1-1-2-2-2-22-122-2-2-2-211-1-1-1-1-11122111111211-1-1-22-1-1-2111-1-1-1-11100−i3−i3i3i3000000000000000i3−i3−i3i300i3−i3000000000
χ422222-2-22-1-2-222-12-1-1-2-2-2-22-122-2-2-2-211-1-1-1-1-11122111111211-1-1-22-1-1-2111-1-1-1-11100i3i3−i3−i3000000000000000−i3i3i3−i300−i3i3000000000
χ432222-2-22-1-2-222-12-1-1-2-2-2-2-2-1-2222-2-21111-1-1-11122-1-11111-211112-21-12-1-1-111-1-1-1-100−i3−i3i3i3000000000000000i3−i3i3−i300−i3i3000000000
χ442222-2-22-1-2-222-12-1-1-2-2-2-2-2-1-2222-2-21111-1-1-11122-1-11111-211112-21-12-1-1-111-1-1-1-100i3i3−i3−i3000000000000000−i3i3−i3i300i3−i3000000000
χ452222-2-2-1222-1-12-122-1-1-1-12-1-2-22-211-2-222-1-1-12211-2-2-1-1-1-1-111-1-111-2-2-12111111-1-100000022-2-2-1-1-1-1111100000002-200-1-11100000
χ462222-2-2-1222-1-12-122-1-1-1-12-1-2-22-211-2-222-1-1-12211-2-2-1-1-1-1-111-1-111-2-2-12111111-1-1000000-2-2221111-1-1-1-10000000-220011-1-100000
χ472222-2-2-1222-1-12-122-1-1-1-1-2-12-2-2211-2-2-2-2-1-1-1221122-1-1-1-111111-1-12-21-2-1-1-1-1111100000022-2-2-1-1-1-111110000000-220011-1-100000
χ482222-2-2-1222-1-12-122-1-1-1-1-2-12-2-2211-2-2-2-2-1-1-1221122-1-1-1-111111-1-12-21-2-1-1-1-11111000000-2-2221111-1-1-1-100000002-200-1-11100000
χ492222-2-2-12-2-2-1-12-12211112-122-2-211-2-222-1-1-1-2-2-1-1-2-21111-111-1-11-1221-211-1-1-1-111000000000033−3−3−3−333000000000003−3−3300000
χ502222-2-2-12-2-2-1-12-12211112-122-2-211-2-222-1-1-1-2-2-1-1-2-21111-111-1-11-1221-211-1-1-1-1110000000000−3−33333−3−300000000000−333−300000
χ512222-2-2-12-2-2-1-12-1221111-2-1-222211-2-2-2-2-1-1-1-2-2-1-122111111111-11-22-12-1-111-1-1-1-1000000000033−3−3−3−33300000000000−333−300000
χ522222-2-2-12-2-2-1-12-1221111-2-1-222211-2-2-2-2-1-1-1-2-2-1-122111111111-11-22-12-1-111-1-1-1-10000000000−3−33333−3−3000000000003−3−3300000
χ532-22-200222-2-2-2-222-222-2-2020000000000-2-222-2000022-2-200000000000000000002-22-22-2002i−2i00002i−2i2i−2i0000000000000002i−2i000
χ542-22-200222-2-2-2-222-222-2-2020000000000-2-222-2000022-2-200000000000000000002-22-22-200−2i2i0000−2i2i−2i2i000000000000000−2i2i000
χ552-22-200222-2-2-2-222-222-2-2020000000000-2-222-2000022-2-20000000000000000000-22-22-22002i−2i00002i−2i2i−2i000000000000000−2i2i000
χ562-22-200222-2-2-2-222-222-2-2020000000000-2-222-2000022-2-20000000000000000000-22-22-2200−2i2i0000−2i2i−2i2i0000000000000002i−2i000
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
χ58444444-2-244-2-2-2-2-2-2-2-2-2-2-41-44-4-4-2-2-2-222111-2-2-2-2221111211-1-1222-222-1-1-1-111-1-100000000000000000000000000000000000000
χ59444444-2-2-4-4-2-2-2-2-2-2222241-4-4-44-2-2-2-2-2-21112222-2-2-1-1-1-1-21111-22222211-1-1-1-1-1-100000000000000000000000000000000000000
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χ614444-4-4-2-244-2-2-2-2-2-2-2-2-2-241-4-44-42222-2-2111-2-222221111-2-1-1112222-2-2-1-1-1-1-1-11100000000000000000000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-2-2-2-2-2-414-4-44222222111-2-222-2-211112-1-1-1-1-2-2-22221111-1-1-1-100000000000000000000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-222224144-4-42222-2-211122-2-222-1-1-1-1-2-1-1112-2-2-222-1-11111-1-100000000000000000000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-22222-41-444422222211122-2-2-2-2-1-1-1-12-1-1-1-1-222-2-2-211-1-1111100000000000000000000000000000000000000
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χ6944-4-400-2400-2242-4-4−2323−23230-20000000000-222000000−2323−23230000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000
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χ9988-8-800-4-400-44-444443−4343−430200000000002-2-2000000−2323−2323000000000000000000000000000000000000000000000000000000000
χ10088-8-800-4-400-44-4444−4343−43430200000000002-2-200000023−2323−23000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-48-8444-4-44-4-444020000000000-2-22-44000022-2-2000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4-88444-4-4444-4-4020000000000-2-224-40000-2-222000000000000000000000000000000000000000000000000000000000

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