Finite Group Databasebeta

← Group #13170769

Character table — Group #13170769

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121244444436661212121212121212121212122222444121212121212121212121212121212122222666612121212121212121212121212121212444666612124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-111111111-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111-1-111-1-1111111-1-111-1-1-1-1-1-1111-111-1-111-1-111111-1-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-11-1-1-111-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-111-11-1-111-1-1111111-11-1-1-111-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-11111-1-111-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-1111-11-1-11111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11-111-1-1-1-11111-1-11-11-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-111-1-111-11111-1-11111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11
χ17222222-122-122-12-122-1-122-1-1-12-12-1-122002222-1-1-1-12-122-1-1-1-1-1-1-1-10000022002200-1-122-1-10022002200002-10-100-1-100-1-1-1-1-1-102000-1-100000-10
χ18222222-122-122-12-122-1-122-1-1-12-12-1-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1000002-2002200-1-1-2-211002200-2-20000-210-100-1-100-1-111110-2000110000010
χ19222222-122-122-12-122-1-122-1-1-12-12-1-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-100000-2200-2-2001122-1-100-2-200-2-200002-10100110011-1-1-1-10-2000110000010
χ20222222-122-122-12-122-1-122-1-1-12-12-1-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-100000-2-200-2-20011-2-21100-2-200220000-210100110011111102000-1-100000-10
χ21222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-2002222-1-1-1-1-21-2-21111111100000-2-200-2-200-1-122-1-1002200220000-2101001100-1-1-1-1110-2000-1-10000010
χ22222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-20022-2-2-1-1-1-1-21-2-21111111100000-2200-2-200-1-1-2-211002200-2-200002-101001100-1-111-1-1020001100000-10
χ23222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-200-2-222-1-1-1-1-21-2-211111111000002-20022001122-1-100-2-200-2-20000-210-100-1-10011-1-111020001100000-10
χ24222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-200-2-2-2-2-1-1-1-1-21-2-211111111000002200220011-2-21100-2-2002200002-10-100-1-1001111-1-10-2000-1-10000010
χ2522222-122-122-12-122-12-12-12-1-1-12-12-122220022-1-1-1-1-12-1-122-1-1-1-1-1-100002022200-1-100-1-122220022000000-12-10-1-100-1-100-1-1-1-1200-1-1000000-100
χ2622222-122-122-12-122-12-12-12-1-1-12-12-1222200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1000020-22200-1-10011-2-22200-2-20000001-2-10-1-100-1-1001111-20011000000100
χ2722222-122-122-12-122-12-12-12-1-1-12-12-122-2-20022-1-1-1-1-12-1-122-1-1-1-1-1-10000-202-2-2001100-1-122-2-200-2-2000000-121011001100-1-1-1-1-20011000000100
χ2822222-122-122-12-122-12-12-12-1-1-12-12-122-2-200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10000-20-2-2-200110011-2-2-2-200220000001-210110011001111200-1-1000000-100
χ2922222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-2220022-1-1-1-11-211-2-21111110000-20-2-2-200-1-100-1-1222200220000001-2101100-1-100-1-111-200-1-1000000100
χ3022222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-22200-2-2-1-1-1-11-211-2-21111110000-202-2-200-1-10011-2-22200-2-2000000-12101100-1-10011-1-120011000000-100
χ3122222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-2-2-20022-1-1-1-11-211-2-2111111000020-222001100-1-122-2-200-2-20000001-2-10-1-1001100-1-11120011000000-100
χ3222222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-2-2-200-2-2-1-1-1-11-211-2-211111100002022200110011-2-2-2-20022000000-12-10-1-100110011-1-1-200-1-1000000100
χ332222-122-122-12222-1-1-122-1-122-1-1-1-12-1-1222200-1-1-1-122-1-1-1-122-1-1-1-12222220-1-1-1-122220000-1-1-1-10000-1-1-1-10022-1-1-1-1-1-1-1-100000020000-1-100000
χ342222-122-122-12222-1-1-122-1-122-1-1-1-12-1-122-2-200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-22-20-1-11122-2-20000-1-11100001111002-2-1-111-1-111000000-200001100000
χ352222-122-122-12222-1-1-122-1-122-1-1-1-12-1-1-2-22200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-22011-1-1-2-222000011-1-10000111100-2211-1-111-1-1000000-200001100000
χ362222-122-122-12222-1-1-122-1-122-1-1-1-12-1-1-2-2-2-200-1-1-1-122-1-1-1-122-1-1-1-12222-2-201111-2-2-2-2000011110000-1-1-1-100-2-21111111100000020000-1-100000
χ372222-122-122-12222-1-1-12-2-1-122-1-1-1-1211222200-1-1-1-1-2-21111-2-211112222-2-20111122220000-1-1-1-10000-1-1-1-100-2-21111-1-1-1-1000000-200001100000
χ382222-122-122-12222-1-1-12-2-1-122-1-1-1-121122-2-200-1-1-1-1-2-21111-2-21111-2-2-2-2-22011-1-122-2-20000-1-1110000111100-2211-1-1-1-11100000020000-1-100000
χ392222-122-122-12222-1-1-12-2-1-122-1-1-1-1211-2-22200-1-1-1-1-2-21111-2-21111-2-2-2-22-20-1-111-2-222000011-1-100001111002-2-1-11111-1-100000020000-1-100000
χ402222-122-122-12222-1-1-12-2-1-122-1-1-1-1211-2-2-2-200-1-1-1-1-2-21111-2-211112222220-1-1-1-1-2-2-2-2000011110000-1-1-1-10022-1-1-1-11111000000-200001100000
χ4122-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-20000000022-2-200000000000022-2-200000000000000000002-22-222-2-200000000000000000002-22-20000000
χ4222-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-20000000022-2-200000000000022-2-20000000000000000000-22-2222-2-20000000000000000000-22-220000000
χ4322-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-20000000022-2-2000000000000-2-22200000000000000000002-2-22-2-22200000000000000000002-2-220000000
χ4422-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-20000000022-2-2000000000000-2-2220000000000000000000-222-2-2-2220000000000000000000-222-20000000
χ452-22-2222-2-2-22-2-222-22220-2-2-2222-2-2-2002i−2i2i−2i002-22-20000000000002-22-200000002i−2i2i−2i00002i−2i2i−2i00002-22-2000000002i−2i2i−2i000000000000000000
χ462-22-2222-2-2-22-2-222-22220-2-2-2222-2-2-2002i−2i−2i2i002-22-2000000000000-22-2200000002i−2i−2i2i00002i−2i−2i2i0000-22-22000000002i−2i−2i2i000000000000000000
χ472-22-2222-2-2-22-2-222-22220-2-2-2222-2-2-200−2i2i2i−2i002-22-2000000000000-22-220000000−2i2i2i−2i0000−2i2i2i−2i0000-22-2200000000−2i2i2i−2i000000000000000000
χ482-22-2222-2-2-22-2-222-22220-2-2-2222-2-2-200−2i2i−2i2i002-22-20000000000002-22-20000000−2i2i−2i2i0000−2i2i−2i2i00002-22-200000000−2i2i−2i2i000000000000000000
χ492-22-2-1221-2-2-1-2-2221-1-12011-22-1-111-23−32i−2i2i−2i00-11-11003−33−30033−3−32-22-2000−i3i3−i3i32i−2i2i−2i0000−ii−ii0000-11-110000−i3i3−i3i3−ii−ii000000000003−300000
χ502-22-2-1221-2-2-1-2-2221-1-12011-22-1-111-23−32i−2i−2i2i00-11-11003−33−30033−3−3-22-22000−i3i3i3−i32i−2i−2i2i0000−iii−i00001-11-10000−i3i3i3−i3−iii−i00000000000−3300000
χ512-22-2-1221-2-2-1-2-2221-1-12011-22-1-111-23−3−2i2i2i−2i00-11-11003−33−30033−3−3-22-22000i3−i3−i3i3−2i2i2i−2i0000i−i−ii00001-11-10000i3−i3−i3i3i−i−ii00000000000−3300000
χ522-22-2-1221-2-2-1-2-2221-1-12011-22-1-111-23−3−2i2i−2i2i00-11-11003−33−30033−3−32-22-2000i3−i3i3−i3−2i2i−2i2i0000i−ii−i0000-11-110000i3−i3i3−i3i−ii−i000000000003−300000
χ532-22-2-1221-2-2-1-2-2221-1-12011-22-1-111-2−332i−2i2i−2i00-11-1100−33−3300−3−3332-22-2000i3−i3i3−i32i−2i2i−2i0000−ii−ii0000-11-110000i3−i3i3−i3−ii−ii00000000000−3300000
χ542-22-2-1221-2-2-1-2-2221-1-12011-22-1-111-2−332i−2i−2i2i00-11-1100−33−3300−3−333-22-22000i3−i3−i3i32i−2i−2i2i0000−iii−i00001-11-10000i3−i3−i3i3−iii−i000000000003−300000
χ552-22-2-1221-2-2-1-2-2221-1-12011-22-1-111-2−33−2i2i2i−2i00-11-1100−33−3300−3−333-22-22000−i3i3i3−i3−2i2i2i−2i0000i−i−ii00001-11-10000−i3i3i3−i3i−i−ii000000000003−300000
χ562-22-2-1221-2-2-1-2-2221-1-12011-22-1-111-2−33−2i2i−2i2i00-11-1100−33−3300−3−3332-22-2000−i3i3−i3i3−2i2i−2i2i0000i−ii−i0000-11-110000−i3i3−i3i3i−ii−i00000000000−3300000
χ572-2-22222-2-2-2-222-2-222220-2-2-2-2-2-22220000002-22-2-220000000000002-2-22000000000002-22-2000000002-2-220000000000002-2000000000002-2000
χ582-2-22222-2-2-2-222-2-222220-2-2-2-2-2-22220000002-22-2-22000000000000-222-2000000000002-22-200000000-222-20000000000002-200000000000-22000
χ592-2-22222-2-2-2-222-2-222220-2-2-2-2-2-2222000000-222-2-220000000000002-2-2200000000000-22-22000000002-2-22000000000000-2200000000000-22000
χ602-2-22222-2-2-2-222-2-222220-2-2-2-2-2-2222000000-222-2-22000000000000-222-200000000000-22-2200000000-222-2000000000000-22000000000002-2000
χ6144444-2-24-2-24-2-2-2-24-2-214-2-211-2-2-2-21440000441111-2-2-2-2-2-2111111000000400000000-2-2-2-2000000000000-2-20000000000111100000000000000
χ6244444-2-24-2-24-2-2-2-24-2-214-2-211-2-2-2-21440000-4-41111-2-2-2-2-2-2111111000000-4000000002222000000000000220000000000-1-1-1-100000000000000
χ6344444-2-24-2-24-2-2-2-24-2-21-4-2-211-2-2-2-21-4-40000441111222222-1-1-1-1-1-1000000-400000000-2-2-2-200000000000022000000000011-1-100000000000000
χ6444444-2-24-2-24-2-2-2-24-2-21-4-2-211-2-2-2-21-4-40000-4-41111222222-1-1-1-1-1-10000004000000002222000000000000-2-20000000000-1-11100000000000000
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χ864-44-4-24-22-42-2-424-22-21-202-12-2-212-12−232300−4i4i001-11-100−23233−30033−3−3000000000−2i32i3002i−2i0000002i−2i00000000000000i3−i300−ii000000000000000000
χ874-44-4-2-2422-4-22-4-2421-2-20-122-21-2-12223−234i−4i00001-11-100−3323−2300−3−3330000000−2i32i300−2i2i000000−2i2i00000000000000i3−i300i−i00000000000000000000
χ884-44-4-2-2422-4-22-4-2421-2-20-122-21-2-12223−23−4i4i00001-11-100−3323−2300−3−33300000002i3−2i3002i−2i0000002i−2i00000000000000−i3i300−ii00000000000000000000
χ894-44-4-2-2422-4-22-4-2421-2-20-122-21-2-122−23234i−4i00001-11-1003−3−23230033−3−300000002i3−2i300−2i2i000000−2i2i00000000000000−i3i300i−i00000000000000000000
χ904-44-4-2-2422-4-22-4-2421-2-20-122-21-2-122−2323−4i4i00001-11-1003−3−23230033−3−30000000−2i32i3002i−2i0000002i−2i00000000000000i3−i300−ii00000000000000000000
χ914-4-4444-2-4-42-44-2-4244-2-20-4222-424-2-20000004-4-222-20000000000000000000000000004-4-22000000000000000000000000-220000000000000000
χ924-4-4444-2-4-42-44-2-4244-2-20-4222-424-2-2000000-44-222-2000000000000000000000000000-442-20000000000000000000000002-20000000000000000
χ934-4-444-24-42-4-4-242-44-24-202-4222-4-24-20000004-4-222-2000000000000000000000000000-224-4000000000000000000000000-220000000000000000
χ944-4-444-24-42-4-4-242-44-24-202-4222-4-24-2000000-44-222-20000000000000000000000000002-2-440000000000000000000000002-20000000000000000
χ954-4-444-2-2-422-4-2-2224-2-21022-1-122-2-210000004-41-1-110000003-33-33-3000000000000000-22-220000000000000000000000001-13-300000000000000
χ964-4-444-2-2-422-4-2-2224-2-21022-1-122-2-210000004-41-1-11000000-33-33-33000000000000000-22-220000000000000000000000001-1-3300000000000000
χ974-4-444-2-2-422-4-2-2224-2-21022-1-122-2-21000000-441-1-110000003-33-33-30000000000000002-22-2000000000000000000000000-11-3300000000000000
χ984-4-444-2-2-422-4-2-2224-2-21022-1-122-2-21000000-441-1-11000000-33-33-330000000000000002-22-2000000000000000000000000-113-300000000000000
χ994-4-44-2442-4-4244-4-4-2-2-24022-4-422-2-2400000000-222-20000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ1004-4-44-2442-4-4244-4-4-2-2-24022-4-422-2-2400000000-222-2000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-48-4-4-84444-8-4-420-4-42-24444-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-48-44-84-844-42-40-42-444-24-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48-4-4844-84-842-4-402-4-44-24-2440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-1110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-11100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4-844844-4-4-8-4-42044-22-4-444-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4444-444-4-442220-2-2-2222-2-2-243−43000000-11-1100−2323−23230033−3−30000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-444-4-442220-2-2-2222-2-2-2−4343000000-11-110023−2323−2300−3−3330000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-8448-4-84-4-42-404-2444-2-42-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-84-484-8-42-4-40-2444-242-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44444-4-444-42220-2-2-2-2-2-222200000000-111-10000006-6-33-330000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44444-4-444-42220-2-2-2-2-2-222200000000-111-1000000-663-33-30000000000000000000000000000000000000000000000000000000000000

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