Finite Group Databasebeta

← Group #13168443

Character table — Group #13168443

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666633346666666661212444436661212121212121212121212122244666612121212121212121212121244444444121212126666661212121212121212121244121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111-1-111-1-11111111111-1-111-1-111111-111-1-11-11111-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-1111-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-111111-1-1-1-1-111-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-11-1-111-1-11-111
χ51111111111111111111111111111111-1-1111111111111111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-11111-1-1-11-1-111-1-11-1-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-111-1111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-11-1-111-11-1-1-1-111-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1111-1-1111-1-11
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11111-1-1-111-1
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111-111-1-1-1111-1-111-1-111-1-1-1-1-1-111-11
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-11-1-1111-1-1-111-1-11111-1-1-1-1-1-1111-1
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1111-11111-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-11111-1111-1-1111-11-1
χ17222222-12-1-12222-122-1-122-1-1-1-12-1-12220022-1-1-1-12-1-1-1-1-122-1-1-1-122202222-1-1-1-100002200000000220000-1-1-1-1-1-10200-1-1-1-1000200-1-100-1000
χ18222222-12-1-12222-122-1-122-1-1-1-12-1-12220022-1-1-1-12-1-1-1-1-122-1-1-1-12-2-2022-2-2-1-11100002200000000-2-20000-11-1-1110-200-1-111000-20011001000
χ19222222-12-1-12222-122-1-122-1-1-1-12-1-122200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-1-2220-2-22211-1-10000-2-200000000-2-200001-111-1-1020011-1-1000-20011001000
χ20222222-12-1-12222-122-1-122-1-1-1-12-1-122200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-1-2-2-20-2-2-2-211110000-2-2000000002200001111110-2001111000200-1-100-1000
χ21222222-12-1-12222-122-1-1-22-1-1-1-12-1-12-2-20022-1-1-1-1-211111-2-21111-22-20-2-222-1-11100002200000000-2-200001-111-1-10-200-1-1110002001100-1000
χ22222222-12-1-12222-122-1-1-22-1-1-1-12-1-12-2-20022-1-1-1-1-211111-2-21111-2-220-2-2-2-2-1-1-1-1000022000000002200001111110200-1-1-1-1000-200-1-1001000
χ23222222-12-1-12222-122-1-1-22-1-1-1-12-1-12-2-200-2-2-1-1-1-1-211111-2-2111122-20222211110000-2-200000000220000-1-1-1-1-1-10-2001111000-200-1-1001000
χ24222222-12-1-12222-122-1-1-22-1-1-1-12-1-12-2-200-2-2-1-1-1-1-211111-2-211112-22022-2-211-1-10000-2-200000000-2-20000-11-1-111020011-1-10002001100-1000
χ2522222-122222-1-1-122-12-12-12-12-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12002-1-1002200-1-1-1-1-1-12222002200-1-1-1-120-1-10020-1-1-1-100-1-100-1-100000000
χ2622222-122222-1-1-122-12-12-12-12-1-12-1-1-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-20021100-2-200-1-1-1-11122-2-200-2-2001111-20110020-1-11100-1-1001100000000
χ2722222-122222-1-1-122-12-12-12-12-1-12-1-1-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1200-2-1-10022001111-1-1-2-2-2-200-2-200111120-1-100-2011-1-10011001100000000
χ2822222-122222-1-1-122-12-12-12-12-1-12-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-200-21100-2-200111111-2-222002200-1-1-1-1-201100-201111001100-1-100000000
χ2922222-122222-1-1-122-12-1-2-12-12-1-12-1-1112222-1-1-1-1-2-2-2-211111111-200-21100220011-1-1-1-122-2-20022001111-201100-20-1-1-1-1001100-1-100000000
χ3022222-122222-1-1-122-12-1-2-12-12-1-12-1-11122-2-2-1-1-1-1-2-2-2-211111111200-2-1-100-2-20011-1-111222200-2-200-1-1-1-120-1-100-20-1-1110011001100000000
χ3122222-122222-1-1-122-12-1-2-12-12-1-12-1-111-2-222-1-1-1-1-2-2-2-211111111-200211002200-1-111-1-1-2-22200-2-200-1-1-1-1-2011002011-1-100-1-1001100000000
χ3222222-122222-1-1-122-12-1-2-12-12-1-12-1-111-2-2-2-2-1-1-1-1-2-2-2-2111111112002-1-100-2-200-1-11111-2-2-2-2002200111120-1-10020111100-1-100-1-100000000
χ332222-122-122-12222-1-1-122-1-12-12-1-12-1222200-1-1-1-1-12-1-122-1-1-1-1-1-1022200-1-10022222200-1-10022000000000200-1-1-1-1-1-100-1-1-1-1200000-1-10-100
χ342222-122-122-12222-1-1-122-1-12-12-1-12-1222200-1-1-1-1-12-1-122-1-1-1-1-1-10-2-22001100-2-2222200-1-100-2-2000000000-20011-11-1-10011-1-1-200000110100
χ352222-122-122-12222-1-1-122-1-12-12-1-12-122-2-200-1-1-1-1-12-1-122-1-1-1-1-1-1022-200-1-10022-2-2-2-2001100-2-2000000000200-1-11-11100-1-111-200000110100
χ362222-122-122-12222-1-1-122-1-12-12-1-12-122-2-200-1-1-1-1-12-1-122-1-1-1-1-1-10-2-2-2001100-2-2-2-2-2-200110022000000000-200111111001111200000-1-10-100
χ372222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-22200-1-1-1-11-211-2-211111102-2-200-1-100-2-2-2-22200-1-10022000000000200-1-111-1-1001111-200000-1-10100
χ382222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-22200-1-1-1-11-211-2-21111110-22-200110022-2-22200-1-100-2-2000000000-200111-1-1-100-1-111200000110-100
χ392222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-2-2-200-1-1-1-11-211-2-211111102-2200-1-100-2-222-2-2001100-2-2000000000200-1-1-11110011-1-1200000110-100
χ402222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-2-2-200-1-1-1-11-211-2-21111110-2220011002222-2-200110022000000000-20011-1-11100-1-1-1-1-200000-1-10100
χ4122-2-2222-22-2-2-22-2-222220-2-22-2-222-2-2002-22i−2i22-2-2000000000000000000002i−2i00002-22i−2i2-200002i−2i000000000000002-22i−2i0000002i−2i00000000
χ4222-2-2222-22-2-2-22-2-222220-2-22-2-222-2-2002-2−2i2i22-2-200000000000000000000−2i2i00002-2−2i2i2-20000−2i2i000000000000002-2−2i2i000000−2i2i00000000
χ4322-2-2222-22-2-2-22-2-222220-2-22-2-222-2-200-222i−2i22-2-2000000000000000000002i−2i0000-222i−2i-220000−2i2i00000000000000-222i−2i000000−2i2i00000000
χ4422-2-2222-22-2-2-22-2-222220-2-22-2-222-2-200-22−2i2i22-2-200000000000000000000−2i2i0000-22−2i2i-2200002i−2i00000000000000-22−2i2i0000002i−2i00000000
χ4522-2-22-12-22-2-21-11-22-12-101-2-1-21-12113−32-22i−2i-1-11100003−33−333−3−30000−i3i3002i−2i003−3-11−ii2-200002i−2i00−i3−i3i3i300−i3i30000-11−ii003−300−ii00000000
χ4622-2-22-12-22-2-21-11-22-12-101-2-1-21-12113−32-2−2i2i-1-11100003−33−333−3−30000i3−i300−2i2i003−3-11i−i2-20000−2i2i00i3i3−i3−i300i3−i30000-11i−i003−300i−i00000000
χ4722-2-22-12-22-2-21-11-22-12-101-2-1-21-12113−3-222i−2i-1-11100003−33−333−3−30000−i3i3002i−2i00−331-1−ii-220000−2i2i00i3i3−i3−i300−i3i300001-1−ii00−3300i−i00000000
χ4822-2-22-12-22-2-21-11-22-12-101-2-1-21-12113−3-22−2i2i-1-11100003−33−333−3−30000i3−i300−2i2i00−331-1i−i-2200002i−2i00−i3−i3i3i300i3−i300001-1i−i00−3300−ii00000000
χ4922-2-22-12-22-2-21-11-22-12-101-2-1-21-1211−332-22i−2i-1-1110000−33−33−3−3330000i3−i3002i−2i00−33-11−ii2-200002i−2i00i3i3−i3−i300i3−i30000-11−ii00−3300−ii00000000
χ5022-2-22-12-22-2-21-11-22-12-101-2-1-21-1211−332-2−2i2i-1-1110000−33−33−3−3330000−i3i300−2i2i00−33-11i−i2-20000−2i2i00−i3−i3i3i300−i3i30000-11i−i00−3300i−i00000000
χ5122-2-22-12-22-2-21-11-22-12-101-2-1-21-1211−33-222i−2i-1-1110000−33−33−3−3330000i3−i3002i−2i003−31-1−ii-220000−2i2i00−i3−i3i3i300i3−i300001-1−ii003−300i−i00000000
χ5222-2-22-12-22-2-21-11-22-12-101-2-1-21-1211−33-22−2i2i-1-1110000−33−33−3−3330000−i3i300−2i2i003−31-1i−i-2200002i−2i00i3i3−i3−i300−i3i300001-1i−i003−300−ii00000000
χ532-2-22222-2-2-222-2-22-22220-2-2-222-2-2-220000002-2-22000000000000000000000000000000002i−2i2i−2i002-22i−2i2i−2i000000000000000000002-22i−2i0000
χ542-2-22222-2-2-222-2-22-22220-2-2-222-2-2-220000002-2-22000000000000000000000000000000002i−2i−2i2i00-222i−2i2i−2i00000000000000000000-22−2i2i0000
χ552-2-22222-2-2-222-2-22-22220-2-2-222-2-2-220000002-2-2200000000000000000000000000000000−2i2i2i−2i00-22−2i2i−2i2i00000000000000000000-222i−2i0000
χ562-2-22222-2-2-222-2-22-22220-2-2-222-2-2-220000002-2-2200000000000000000000000000000000−2i2i−2i2i002-2−2i2i−2i2i000000000000000000002-2−2i2i0000
χ5744444-2-24-2-24-2-2-2-24-2-214-2-21-21-2-21-2-2-2004411114-2-2-211-2-211114000-2-200-2-2000000-2-200000000000000-2011000000110000000000000000
χ5844444-2-24-2-24-2-2-2-24-2-214-2-21-21-2-21-2-2-200-4-411114-2-2-211-2-21111-4000220022000000220000000000000020-1-1000000-1-10000000000000000
χ5944444-2-24-2-24-2-2-2-24-2-21-4-2-21-21-2-21-22200441111-4222-1-122-1-1-1-1-40002200-2-2000000-2-20000000000000020-1-1000000110000000000000000
χ6044444-2-24-2-24-2-2-2-24-2-21-4-2-21-21-2-21-22200-4-41111-4222-1-122-1-1-1-14000-2-200220000002200000000000000-2011000000-1-10000000000000000
χ614444-24-2-2-2-2-2444-2-2-21-24-21-21-2-21-2-24400001111-2-211-2-2-2-21111044000-2-200-2-2000000000000000000000-200110-200001100000000000000
χ624444-24-2-2-2-2-2444-2-2-21-24-21-21-2-21-2-24400001111-2-211-2-2-2-211110-4-4000220022000000000000000000000200-1-1020000-1-100000000000000
χ634444-24-2-2-2-2-2444-2-2-21-2-4-21-21-2-21-2-2-4-40000111122-1-12222-1-1-1-104-4000-2-20022000000000000000000000-20011020000-1-100000000000000
χ644444-24-2-2-2-2-2444-2-2-21-2-4-21-21-2-21-2-2-4-40000111122-1-12222-1-1-1-10-440002200-2-2000000000000000000000200-1-10-200001100000000000000
χ654444-2-24-244-2-2-2-24-21-2-241-2-2-2-21-2-21-2-244001111-24-2-2-2-2111111000400000000-2-2-2-200-2-2000000000000000000-2011000011000000000000
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χ8044-4-4-2-2424-422-22-4-21-2-20-12-2221-22-1−2323-440011-1-10000−23233−333−3−300000000000023−232-2002-200000000000000000000-110000−33000000000000
χ814-44-44444-44-4-4-44-4-4444044-4-4-4-4-44-40000004-44-4000000000000000000000000000000000000000000000000000000000000000000000000
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χ884-44-4-24-2-22-22-4-4422-21-20-212-122-1-220000001-11-1003i−3i00003i−3i3i−3i000000−2i32i30023−23000000000000000000000000i3−i3000000−3300000000000000
χ894-44-4-24-2-22-22-4-4422-21-20-212-122-1-220000001-11-1003i−3i00003i−3i3i−3i0000002i3−2i300−2323000000000000000000000000−i3i30000003−300000000000000
χ904-44-4-24-2-22-22-4-4422-21-20-212-122-1-220000001-11-100−3i3i0000−3i3i−3i3i000000−2i32i300−2323000000000000000000000000i3−i30000003−300000000000000
χ914-44-4-24-2-22-22-4-4422-21-20-212-122-1-220000001-11-100−3i3i0000−3i3i−3i3i0000002i3−2i30023−23000000000000000000000000−i3i3000000−3300000000000000
χ924-4-4444-2-42244-4-4-2-44-2-20-422-2-2-4224000000-222-2000000000000000000000000000000000000004-4000000000000000000000000-22000000
χ934-4-4444-2-42244-4-4-2-44-2-20-422-2-2-4224000000-222-200000000000000000000000000000000000000-440000000000000000000000002-2000000
χ944-4-444-24-4-4-44-2224-4-24-202-424-22-42-2000000-222-2000000000000000000000000000000004i−4i000000−2i2i−2i2i0000000000000000000000000000
χ954-4-444-24-4-4-44-2224-4-24-202-424-22-42-2000000-222-200000000000000000000000000000000−4i4i0000002i−2i2i−2i0000000000000000000000000000
χ964-4-44-2442-4-4-24-4-442-2-24022-4-2422-4-2000000-222-200000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i0000
χ974-4-44-2442-4-4-24-4-442-2-24022-4-2422-4-2000000-222-20000000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i0000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-44-444-88-84-4-42-404-2-4-24-424400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44-4444-444-42220-2-22-2-222-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-44-4444-444-42220-2-22-2-222-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-484-4-844-44-8-4-420-4-4-24-244240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-4-88444-4-842-4-402-4444-24-4-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4-44-4444-444222022-2-2-2-2-22-2000000-11-11006i−6i0000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4-44-4444-444222022-2-2-2-2-22-2000000-11-1100−6i6i00003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-8448-444-4-8-4-42044-2-4244-2-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4444-48-8-8-44-42-404-242-44-24-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-484-8-8-4-444842-4-40-244-4-4-24420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444-4-444-442220-2-2-222-2-2-22000000-111-100000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444-4-444-442220-2-2-222-2-2-22000000-111-1000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000

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