Finite Group Databasebeta

← Group #13168462

Character table — Group #13168462

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212444444366612121212121212121212121224466121212121212121212121212121244441212121266612121212121212121212121212244466121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-11-11-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-111111-1-1111111-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111-11-111-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-11111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-111-1-1-1-1111111-1-1-11-1-111-1-11111-1-1-1-111-1-111-1-111-11-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-1-1111111-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-11-11
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1111111111-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111-1-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-1-1111
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-111-1-1111111111-111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-1111111111-1-1-1
χ17222222-1-12-122222-1-1-122-1-12-12-12-1-122002222-1-1-1-1-1222-1-1-1-1-1-1-1-1022002222000022-1-1-1-100000000000-12-100-1-1-1-1-1-1-1-12020-1-10000000-10
χ18222222-1-12-122222-1-1-122-1-12-12-12-1-1220022-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-102-200-2-2220000-2-2-1-1110000000000012-1001111-1-1-1-1-20-2011000000010
χ19222222-1-12-122222-1-1-122-1-12-12-12-1-12200-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-10-220022-2-200002211-1-100000000000-1-2100-1-1-1-11111-20-2011000000010
χ20222222-1-12-122222-1-1-122-1-12-12-12-1-12200-2-2-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-10-2-200-2-2-2-20000-2-21111000000000001-2100111111112020-1-10000000-10
χ21222222-1-12-122222-1-1-12-2-1-12-12-12-1-1-2-2002222-1-1-1-11-2-2-2111111110-2-200-2-222000022-1-1-1-1000000000001-2100-1-111-1-11120-20-1-1000000010
χ22222222-1-12-122222-1-1-12-2-1-12-12-12-1-1-2-20022-2-2-1-1-1-11-2-2-2111111110-220022220000-2-2-1-11100000000000-1-210011-1-1-1-111-2020110000000-10
χ23222222-1-12-122222-1-1-12-2-1-12-12-12-1-1-2-200-2-222-1-1-1-11-2-2-21111111102-200-2-2-2-200002211-1-10000000000012-100-1-11111-1-1-2020110000000-10
χ24222222-1-12-122222-1-1-12-2-1-12-12-12-1-1-2-200-2-2-2-2-1-1-1-11-2-2-2111111110220022-2-20000-2-2111100000000000-12-10011-1-111-1-120-20-1-1000000010
χ2522222-12222-1-122-122-1-122-1-1-1-12-12-122222200-1-1-1-12-1-1-1-1-122-1-1-1-12202200-1-122-1-100220000000000-1-1-10-12-1-10000-1-1-1-1020200-1-10000-100
χ2622222-12222-1-122-122-1-122-1-1-1-12-12-12222-2-200-1-1-1-12-1-1-1-1-122-1-1-1-12-2022001122-1-100-2-20000000000-1-1-101-2-1-1000011110-20-200110000100
χ2722222-12222-1-122-122-1-122-1-1-1-12-12-122-2-22200-1-1-1-12-1-1-1-1-122-1-1-1-1-220-2-200-1-1-2-211002200000000001110-12110000-1-1-1-10-20-200110000100
χ2822222-12222-1-122-122-1-122-1-1-1-12-12-122-2-2-2-200-1-1-1-12-1-1-1-1-122-1-1-1-1-2-20-2-20011-2-21100-2-2000000000011101-21100001111020200-1-10000-100
χ2922222-12222-1-122-122-1-1-22-1-1-1-12-12-1-2-2222200-1-1-1-1-211111-2-21111-2-20-2-200-1-122-1-10022000000000011101-2-1-10000-1-1110-20200-1-10000100
χ3022222-12222-1-122-122-1-1-22-1-1-1-12-12-1-2-222-2-200-1-1-1-1-211111-2-21111-220-2-2001122-1-100-2-200000000001110-12-1-1000011-1-1020-200110000-100
χ3122222-12222-1-122-122-1-1-22-1-1-1-12-12-1-2-2-2-22200-1-1-1-1-211111-2-211112-202200-1-1-2-21100220000000000-1-1-101-2110000-1-111020-200110000-100
χ3222222-12222-1-122-122-1-1-22-1-1-1-12-12-1-2-2-2-2-2-200-1-1-1-1-211111-2-21111220220011-2-21100-2-20000000000-1-1-10-1211000011-1-10-20200-1-10000100
χ332222-1222-1222-1-122-12-12-12-12-1-1-1-12-1-1220022-1-1-1-122-1-122-1-1-1-1-1-1202-1-1-1-100-1-122-1-100222222-1-1-1-12-1-1200-1-1-1-1-1-1000000000000-1-100000
χ342222-1222-1222-1-122-12-12-12-12-1-1-1-12-1-12200-2-2-1-1-1-122-1-122-1-1-1-1-1-120-2-1-11100-1-1221100-2-2-2-2-2-211112-1-1-200-1-111110000000000001100000
χ352222-1222-1222-1-122-12-12-12-12-1-1-1-12-1-1-2-20022-1-1-1-122-1-122-1-1-1-1-1-1-20211-1-10011-2-2-1-10022-2-2-2-21111-21120011-1-1-1-10000000000001100000
χ362222-1222-1222-1-122-12-12-12-12-1-1-1-12-1-1-2-200-2-2-1-1-1-122-1-122-1-1-1-1-1-1-20-211110011-2-21100-2-22222-1-1-1-1-211-200111111000000000000-1-100000
χ372222-1222-1222-1-122-12-1-2-12-12-1-1-1-1211220022-1-1-1-1-2-211-2-2111111-20-2111100-1-122-1-1002222-2-21111-211-200-1-1-1-111000000000000-1-100000
χ382222-1222-1222-1-122-12-1-2-12-12-1-1-1-12112200-2-2-1-1-1-1-2-211-2-2111111-20211-1-100-1-1221100-2-2-2-222-1-1-1-1-211200-1-111-1-10000000000001100000
χ392222-1222-1222-1-122-12-1-2-12-12-1-1-1-1211-2-20022-1-1-1-1-2-211-2-211111120-2-1-1110011-2-2-1-10022-2-222-1-1-1-12-1-1-20011-1-1110000000000001100000
χ402222-1222-1222-1-122-12-1-2-12-12-1-1-1-1211-2-200-2-2-1-1-1-1-2-211-2-2111111202-1-1-1-10011-2-21100-2-222-2-211112-1-12001111-1-1000000000000-1-100000
χ412-22-2222-2-2-22-22-2-222220-2-22-2-22-2-22002i−2i002-222-2-20000000000000000000002i−2i2i−2i2-2002-22i−2i0000000000002i−2i2-2000000000000002i−2i00000
χ422-22-2222-2-2-22-22-2-222220-2-22-2-22-2-22002i−2i00-2222-2-20000000000000000000002i−2i2i−2i-2200-22−2i2i0000000000002i−2i-2200000000000000−2i2i00000
χ432-22-2222-2-2-22-22-2-222220-2-22-2-22-2-2200−2i2i002-222-2-2000000000000000000000−2i2i−2i2i2-2002-2−2i2i000000000000−2i2i2-200000000000000−2i2i00000
χ442-22-2222-2-2-22-22-2-222220-2-22-2-22-2-2200−2i2i00-2222-2-2000000000000000000000−2i2i−2i2i-2200-222i−2i000000000000−2i2i-22000000000000002i−2i00000
χ452-22-2-122-21-22-2-11-22-12-101-2-1-21-11123−32i−2i002-2-1-111003−3003−333−3−3000−i3i33−300−ii2i−2i-11002-22i−2i00−i3−i3i3i30−i3i3000−ii-113−3000000000000−ii00000
χ462-22-2-122-21-22-2-11-22-12-101-2-1-21-11123−32i−2i00-22-1-111003−3003−333−3−3000−i3i3−3300−ii2i−2i1-100-22−2i2i00i3i3−i3−i30−i3i3000−ii1-1−33000000000000i−i00000
χ472-22-2-122-21-22-2-11-22-12-101-2-1-21-11123−3−2i2i002-2-1-111003−3003−333−3−3000i3−i33−300i−i−2i2i-11002-2−2i2i00i3i3−i3−i30i3−i3000i−i-113−3000000000000i−i00000
χ482-22-2-122-21-22-2-11-22-12-101-2-1-21-11123−3−2i2i00-22-1-111003−3003−333−3−3000i3−i3−3300i−i−2i2i1-100-222i−2i00−i3−i3i3i30i3−i3000i−i1-1−33000000000000−ii00000
χ492-22-2-122-21-22-2-11-22-12-101-2-1-21-1112−332i−2i002-2-1-11100−3300−33−3−333000i3−i3−3300−ii2i−2i-11002-22i−2i00i3i3−i3−i30i3−i3000−ii-11−33000000000000−ii00000
χ502-22-2-122-21-22-2-11-22-12-101-2-1-21-1112−332i−2i00-22-1-11100−3300−33−3−333000i3−i33−300−ii2i−2i1-100-22−2i2i00−i3−i3i3i30i3−i3000−ii1-13−3000000000000i−i00000
χ512-22-2-122-21-22-2-11-22-12-101-2-1-21-1112−33−2i2i002-2-1-11100−3300−33−3−333000−i3i3−3300i−i−2i2i-11002-2−2i2i00−i3−i3i3i30−i3i3000i−i-11−33000000000000i−i00000
χ522-22-2-122-21-22-2-11-22-12-101-2-1-21-1112−33−2i2i00-22-1-11100−3300−33−3−333000−i3i33−300i−i−2i2i1-100-222i−2i00i3i3−i3−i30−i3i3000i−i1-13−3000000000000−ii00000
χ532-2-22222-222-22-2-2-2-22220-2-2-222-2-22-200002i−2i002-2-2200000000000000000002i−2i0000002i−2i00002i−2i2i−2i2i−2i0000000000002i−2i0000000000002-2000
χ542-2-22222-222-22-2-2-2-22220-2-2-222-2-22-200002i−2i002-2-2200000000000000000002i−2i0000002i−2i0000−2i2i−2i2i−2i2i0000000000002i−2i000000000000-22000
χ552-2-22222-222-22-2-2-2-22220-2-2-222-2-22-20000−2i2i002-2-220000000000000000000−2i2i000000−2i2i00002i−2i2i−2i2i−2i000000000000−2i2i000000000000-22000
χ562-2-22222-222-22-2-2-2-22220-2-2-222-2-22-20000−2i2i002-2-220000000000000000000−2i2i000000−2i2i0000−2i2i−2i2i−2i2i000000000000−2i2i0000000000002-2000
χ5744444-2-2-24-2-2-244-2-2-21-24-21-21-2-2-2-21440044001111-2-2-2-211-2-211110400000-2-2000000-2-200000000000000-2-20000001111000000000000000
χ5844444-2-2-24-2-2-244-2-2-21-24-21-21-2-2-2-214400-4-4001111-2-2-2-211-2-211110-40000022000000220000000000000022000000-1-1-1-1000000000000000
χ5944444-2-2-24-2-2-244-2-2-21-2-4-21-21-2-2-2-21-4-400440011112222-1-122-1-1-1-10-400000-2-2000000-2-2000000000000002200000011-1-1000000000000000
χ6044444-2-2-24-2-2-244-2-2-21-2-4-21-21-2-2-2-21-4-400-4-40011112222-1-122-1-1-1-10400000220000002200000000000000-2-2000000-1-111000000000000000
χ614444-24-2-2-2-244-2-24-21-2-241-2-2-2-21-21-2-2-20000441111-24-2-2-2-211111100400-2-2000000-2-200-2-200000000000-2000011110000000000000000000
χ624444-24-2-2-2-244-2-24-21-2-241-2-2-2-21-21-2-2-20000-4-41111-24-2-2-2-211111100-400220000002200220000000000020000-1-1-1-10000000000000000000
χ634444-24-2-2-2-244-2-24-21-2-2-41-2-2-2-21-21-22200004411112-42222-1-1-1-1-1-100-40022000000-2-200-2-2000000000002000011-1-10000000000000000000
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χ824-44-4-24-22224-4-22-4-21-2-20-12-22212-1-2−232300004-411-1-100−2323003−333−3−300000−2323000000-2200-2200000000000000001-13−30000000000000000000
χ834-44-4-24-22224-4-22-4-21-2-20-12-22212-1-2−23230000-4411-1-100−2323003−333−3−30000023−230000002-2002-20000000000000000-11−330000000000000000000
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χ864-44-4-2-24-42-4-22-2224-2-2102212-1-2-12-2−23234i−4i000011-1-1003−300−232333−3−30002i3−2i30000−2i2i−2i2i000000000000000−i3i3000i−i00000000000000000000000
χ874-44-4-2-24-42-4-22-2224-2-2102212-1-2-12-2−2323−4i4i000011-1-1003−300−232333−3−3000−2i32i300002i−2i2i−2i000000000000000i3−i3000−ii00000000000000000000000
χ884-4-4444-224-2-44-4-4-42-2-24022-4-242-4-2200004i−4i00-222-200000000000000000004i−4i000000−2i2i0000000000000000000000−2i2i00000000000000000
χ894-4-4444-224-2-44-4-4-42-2-24022-4-242-4-220000−4i4i00-222-20000000000000000000−4i4i0000002i−2i00000000000000000000002i−2i00000000000000000
χ904-4-444-24-4442-2-4-42-44-2-20-422-2-2-424200004i−4i00-222-20000000000000000000−2i2i0000004i−4i0000000000000000000000−2i2i00000000000000000
χ914-4-444-24-4442-2-4-42-44-2-20-422-2-2-42420000−4i4i00-222-200000000000000000002i−2i000000−4i4i00000000000000000000002i−2i00000000000000000
χ924-4-444-2-224-22-2-4-422-21-202-121-222-2-100004i−4i001-1-1100003-3003-33-30000000−2i2i000000−2i2i0000000000000000000000i−i3i−3i000000000000000
χ934-4-444-2-224-22-2-4-422-21-202-121-222-2-100004i−4i001-1-110000-3300-33-330000000−2i2i000000−2i2i0000000000000000000000i−i−3i3i000000000000000
χ944-4-444-2-224-22-2-4-422-21-202-121-222-2-10000−4i4i001-1-1100003-3003-33-300000002i−2i0000002i−2i0000000000000000000000−ii−3i3i000000000000000
χ954-4-444-2-224-22-2-4-422-21-202-121-222-2-10000−4i4i001-1-110000-3300-33-3300000002i−2i0000002i−2i0000000000000000000000−ii3i−3i000000000000000
χ964-4-44-244-4-24-4422-4-4-24-202-424-222-2-400000000-222-20000000000000000000000000000000004i−4i−2i2i−2i2i0000000000000000000000000000000
χ974-4-44-244-4-24-4422-4-4-24-202-424-222-2-400000000-222-2000000000000000000000000000000000−4i4i2i−2i2i−2i0000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-4-8444-88-44-42-40-424-244-44-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4-444-8-84-4842-4-402-4444-2-4-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4884-8444-4-4-8-4-420-4-4-24-24244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-444444-4-44222022-2-2-2-22-2-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-444444-4-44222022-2-2-2-22-2-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-44-84-448-84-4-42-404-2-4-24-44420000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-44-444-42220-2-22-2-22-2-2243−43000000-1-11100−232300−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4444-44-444-42220-2-22-2-22-2-22−4343000000-1-1110023−230023−23−3−3330000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-4-4-8844-842-4-40-244-4-4-2424000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-8-484-4444-8-4-42044-2-424-2-44000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44-4-44-444442220-2-2-222-2-22-200000000-111-100006-600-33-330000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44-4-44-444442220-2-2-222-2-22-200000000-111-10000-66003-33-30000000000000000000000000000000000000000000000000000000000

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