Finite Group Databasebeta

← Group #13169348

Character table — Group #13169348

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212444412121212366612121212121212121224446666666612121212121212121212121212124412121212121212121212121224444661212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-11111111111111111-1-1111111-1-1-11-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-1111111111-1-1-1-111-1-1111111-1-1111-11111-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1111111111111111111-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-11-1-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-1-1-1-1-11-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111-11-1-1-11111-1-1-11-1-11-1-111-1-1-111-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1111111111111-11-1-111-1-111-1-11-1-11-11111-1-11-1-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-1-111-1-111111-1-111-1-111-11-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-11-1111-1-1-1-111-1-1111-1-1-1-1111-11-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1111-1-1-1-1111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-1111-1-111-1-111-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111111111-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1111-1-11-11111-1-11-1-1-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111111-1-111-1-1-1-111-1-1-1-111-11-1111-1-1-1-111-11-1-11-1-111-1-1-1111-1
χ17222222-12-12-12222-1-1-122-1-122-1-1-12-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1022200000000222200-1-1-1-1000000-122-1-1-1-1-1-1-1-1-120002-1-1000000-100
χ18222222-12-12-12222-1-1-122-1-122-1-1-12-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-200000000222200-1-1110000001-2-2-11111-1-1-1-1-2000-211000000100
χ19222222-12-12-12222-1-1-122-1-122-1-1-12-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-102-2200000000-2-2-2-20011-1-1000000-1221-1-1-1-11111-2000-211000000100
χ20222222-12-12-12222-1-1-122-1-122-1-1-12-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-200000000-2-2-2-20011110000001-2-211111111120002-1-1000000-100
χ21222222-12-12-12222-1-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200220000-1-1-1-111111111102-2-20000000022-2-200-1-111000000-1-22111-1-1-1-111-2000211000000-100
χ22222222-12-12-12222-1-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200220000-1-1-1-11111111110-2-220000000022-2-200-1-1-1-100000012-21-1-111-1-1112000-2-1-1000000100
χ23222222-12-12-12222-1-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111022-200000000-2-222001111000000-1-22-111-1-111-1-12000-2-1-1000000100
χ24222222-12-12-12222-1-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-11111111110-22200000000-2-2220011-1-100000012-2-1-1-11111-1-1-2000211000000-100
χ2522222-1222-12-122-122-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1202022-1-1-1-1-1-1-1-1-1-1222200-1-1-1-12200020000-1-1-1-10020000-1-1-1-100000
χ2622222-1222-12-122-122-1-122-1-1-1-122-1-1-1-122-1-1-1-122-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-120-2022-1-1-1-1-1-1111122-2-200-1-1-1-1-2-2000-20000111100-20000111100000
χ2722222-1222-12-122-122-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2221111-1-1-1-12-1-122-1-1-1-1-2020-2-2111111-1-1-1-1-2-222001111-2-200020000-1-1-1-100-20000111100000
χ2822222-1222-12-122-122-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-20-2-21111111111-2-2-2-200111122000-2000011110020000-1-1-1-100000
χ2922222-1222-12-122-122-1-1-22-1-1-1-122-1-111-2-211112222-1-1-1-1-1-1-1-1-211-2-21111-20-20-2-2111111-1-111222200-1-1-1-122000-20000-1-11100-20000-1-11100000
χ3022222-1222-12-122-122-1-1-22-1-1-1-122-1-111-2-2111122-2-2-1-1-1-1-1-1-1-1-211-2-21111-2020-2-211111111-1-122-2-200-1-1-1-1-2-20002000011-1-1002000011-1-100000
χ3122222-1222-12-122-122-1-1-22-1-1-1-122-1-111-2-21111-2-2221111-1-1-1-1-211-2-2111120-2022-1-1-1-1-1-1-1-111-2-222001111-2-2000-20000-1-111002000011-1-100000
χ3222222-1222-12-122-122-1-1-22-1-1-1-122-1-111-2-21111-2-2-2-21111-1-1-1-1-211-2-21111202022-1-1-1-1-1-111-1-1-2-2-2-2001111220002000011-1-100-20000-1-11100000
χ332222-122-12222-1-122-12-12-12-1-12-1-1-1222-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-12202-1-122-1-1-1-10000-1-10022-1-1-1-1002-1-10-1-1-1-1000002020000000-1-1000
χ342222-122-12222-1-122-12-12-12-1-12-1-1-1222-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-12-20-2-1-122-1-1-1-10000-1-100-2-2-1-1-1-100-2110111100000-20-2000000011000
χ352222-122-12222-1-122-12-12-12-1-12-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-220211-2-2111100001100221111002-1-10-1-1-1-100000-20-2000000011000
χ362222-122-12222-1-122-12-12-12-1-12-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-20-211-2-2111100001100-2-2111100-21101111000002020000000-1-1000
χ372222-122-12222-1-122-12-1-2-12-1-12-1-1-12-2-211111122002222-1-1-1-1-2-2-2111111-220-211-2-211110000-1-100-2-2-1-1-1-10021-1011-1-10000020-200000001-1000
χ382222-122-12222-1-122-12-1-2-12-1-12-1-1-12-2-211111122002222-1-1-1-1-2-2-2111111-2-20211-2-211110000-1-10022-1-1-1-100-2-110-1-11100000-2020000000-11000
χ392222-122-12222-1-122-12-1-2-12-1-12-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-2111111220-2-1-122-1-1-1-100001100-2-211110021-1011-1-100000-2020000000-11000
χ402222-122-12222-1-122-12-1-2-12-1-12-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-21111112-202-1-122-1-1-1-10000110022111100-2-110-1-1110000020-200000001-1000
χ4122-2-2222-2-222-2-22-2-22220-2-2-2-22-222-2000000002-22i−2i22-2-22-2-220000000000000000000002i−2i002-22i−2i0022-2-22i−2i000000002i−2i0000000002i−2i0000000
χ4222-2-2222-2-222-2-22-2-22220-2-2-2-22-222-2000000002-2−2i2i22-2-22-2-22000000000000000000000−2i2i002-2−2i2i0022-2-2−2i2i00000000−2i2i000000000−2i2i0000000
χ4322-2-2222-2-222-2-22-2-22220-2-2-2-22-222-200000000-222i−2i-2-2222-2-220000000000000000000002i−2i00-222i−2i00-2-222−2i2i000000002i−2i000000000−2i2i0000000
χ4422-2-2222-2-222-2-22-2-22220-2-2-2-22-222-200000000-22−2i2i-2-2222-2-22000000000000000000000−2i2i00-22−2i2i00-2-2222i−2i00000000−2i2i0000000002i−2i0000000
χ4522-2-22-12-2-2-121-221-22-1-10-2111-1-22-11−i3i300−i3−i3i3i32-22i−2i-1-111-111-10−i3i300−i3−i3i3i3000000−i3i3−i3−i3i3i3−ii3−32-22i−2i00-1-1112i−2i00000000−ii3−30000000−ii3−300000
χ4622-2-22-12-2-2-121-221-22-1-10-2111-1-22-11−i3i300−i3−i3i3i32-2−2i2i-1-111-111-10−i3i300−i3−i3i3i3000000−i3i3−i3−i3i3i3i−i−332-2−2i2i00-1-111−2i2i00000000i−i−330000000i−i−3300000
χ4722-2-22-12-2-2-121-221-22-1-10-2111-1-22-11−i3i300−i3−i3i3i3-222i−2i11-1-1-111-10−i3i300−i3−i3i3i3000000i3−i3i3i3−i3−i3−ii3−3-222i−2i0011-1-1−2i2i00000000−ii3−30000000i−i−3300000
χ4822-2-22-12-2-2-121-221-22-1-10-2111-1-22-11−i3i300−i3−i3i3i3-22−2i2i11-1-1-111-10−i3i300−i3−i3i3i3000000i3−i3i3i3−i3−i3i−i−33-22−2i2i0011-1-12i−2i00000000i−i−330000000−ii3−300000
χ4922-2-22-12-2-2-121-221-22-1-10-2111-1-22-11i3−i300i3i3−i3−i32-22i−2i-1-111-111-10i3−i300i3i3−i3−i3000000i3−i3i3i3−i3−i3−ii−332-22i−2i00-1-1112i−2i00000000−ii−330000000−ii−3300000
χ5022-2-22-12-2-2-121-221-22-1-10-2111-1-22-11i3−i300i3i3−i3−i32-2−2i2i-1-111-111-10i3−i300i3i3−i3−i3000000i3−i3i3i3−i3−i3i−i3−32-2−2i2i00-1-111−2i2i00000000i−i3−30000000i−i3−300000
χ5122-2-22-12-2-2-121-221-22-1-10-2111-1-22-11i3−i300i3i3−i3−i3-222i−2i11-1-1-111-10i3−i300i3i3−i3−i3000000−i3i3−i3−i3i3i3−ii−33-222i−2i0011-1-1−2i2i00000000−ii−330000000i−i3−300000
χ5222-2-22-12-2-2-121-221-22-1-10-2111-1-22-11i3−i300i3i3−i3−i3-22−2i2i11-1-1-111-10i3−i300i3i3−i3−i3000000−i3i3−i3−i3i3i3i−i3−3-22−2i2i0011-1-12i−2i00000000i−i3−30000000−ii−3300000
χ5344444-2-24-2-2-2-244-2-2-21-24-21-2-21-2-2-21-2-244-2-2-2-2004400001111-211-2-21111004000000000-2-2-2-200-2-200000000000-2000011110000000000000000
χ5444444-2-24-2-2-2-244-2-2-21-24-21-2-21-2-2-21-2-244-2-2-2-200-4-400001111-211-2-2111100-4000000000222200220000000000020000-1-1-1-10000000000000000
χ5544444-2-24-2-2-2-244-2-2-21-2-4-21-2-21-2-2-2122-4-422220044000011112-1-122-1-1-1-100-4000000000-2-22200-2-2000000000002000011-1-10000000000000000
χ5644444-2-24-2-2-2-244-2-2-21-2-4-21-2-21-2-2-2122-4-4222200-4-4000011112-1-122-1-1-1-100400000000022-2-2002200000000000-20000-1-1110000000000000000
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χ584444-24-2-2-24-24-2-24-21-2-241-2-2-2-211-2-244-2-2-2-2-2-2000000001111-2-2-21111110-40-40000000000000000220000002220-1-1-1-100000000000000000000
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χ604444-24-2-2-24-24-2-24-21-2-2-41-2-2-2-211-2-2-4-4222222000000001111222-1-1-1-1-1-10-4040000000000000000-2-20000002-22011-1-100000000000000000000
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χ7444-4-4-2-242-4-2422-22-4-2-21022-1-1-22-212−2i32i300i3i3−i3−i3-440022-2-21-1-110−2i32i300i3i3−i3−i30000002i3−2i3−i3−i3i3i300002-20000-1-111000000000000000000000000000000
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χ814-44-44-24442-42-4-4-2-44-2-204-2-222-4-422000000000000−2323−2323-2-2220000000000000000000000000000000−2323−2323000000000000000000000000000000
χ824-44-4-244-24-4-4-4224-4-24-20-24-22-4222-40000000000000000-2-2220000000000000−2i32i300−2i32i3−2i32i300000000000000000000000000000000000000000000
χ834-44-4-244-24-4-4-4224-4-24-20-24-22-4222-40000000000000000-2-22200000000000002i3−2i3002i3−2i32i3−2i300000000000000000000000000000000000000000000
χ844-44-4-2-24-242-4222-2-4-2-210-2-21-1222-1200003i−3i3i−3i000023−2323−2311-1-1000003i−3i3i−3i0000−2i32i300i3−i3i3−i30000000000−33−33000000000000000000000000000000
χ854-44-4-2-24-242-4222-2-4-2-210-2-21-1222-1200003i−3i3i−3i0000−2323−232311-1-1000003i−3i3i−3i00002i3−2i300−i3i3−i3i300000000003−33−3000000000000000000000000000000
χ864-44-4-2-24-242-4222-2-4-2-210-2-21-1222-120000−3i3i−3i3i000023−2323−2311-1-100000−3i3i−3i3i00002i3−2i300−i3i3−i3i30000000000−33−33000000000000000000000000000000
χ874-44-4-2-24-242-4222-2-4-2-210-2-21-1222-120000−3i3i−3i3i0000−2323−232311-1-100000−3i3i−3i3i0000−2i32i300i3−i3i3−i300000000003−33−3000000000000000000000000000000
χ884-4-44444-4-4-4-444-4-444440-4-4-44-44-4-4400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-42-4244-4-4-2-2-24022-442-22-4-20000000000000000-22-2200000000000000000000000000000−2i32i30000000000−2i32i30000000000000000000000
χ904-4-4444-2-42-4244-4-4-2-2-24022-442-22-4-20000000000000000-22-22000000000000000000000000000002i3−2i300000000002i3−2i30000000000000000000000
χ914-4-444-24-4-42-4-24-4244-2-20-422-224-42-200000000000023−23−2323-22-22000000000000000000000000000000023−23−2323000000000000000000000000000000
χ924-4-444-24-4-42-4-24-4244-2-20-422-224-42-2000000000000−232323−23-22-220000000000000000000000000000000−232323−23000000000000000000000000000000
χ934-4-44-2442-4-4-44-22-44-24-202-42-2-4-22240023−2323−23−232300000000-22-2200023−2323−23−232300000000000000000000000000000000000000000000000000000000
χ944-4-44-2442-4-4-44-22-44-24-202-42-2-4-222400−2323−232323−2300000000-22-22000−2323−232323−2300000000000000000000000000000000000000000000000000000000
χ954-4-44-24-222-424-22-4-21-2-20-122-221-12-20023−2323−23−2323000000001-11-1000−33−333−300000000000000000000−2i32i30000000000i3−i33i−3i00000000000000000000
χ964-4-44-24-222-424-22-4-21-2-20-122-221-12-20023−2323−23−2323000000001-11-1000−33−333−3000000000000000000002i3−2i30000000000−i3i3−3i3i00000000000000000000
χ974-4-44-24-222-424-22-4-21-2-20-122-221-12-200−2323−232323−23000000001-11-10003−33−3−3300000000000000000000−2i32i30000000000i3−i3−3i3i00000000000000000000
χ984-4-44-24-222-424-22-4-21-2-20-122-221-12-200−2323−232323−23000000001-11-10003−33−3−33000000000000000000002i3−2i30000000000−i3i33i−3i00000000000000000000
χ994-4-44-2-242-42-4-2-2224-2-21022-112-22-1-20023−23−333−3000023−23−23231-11-100023−23−333−3000000003-3-330000000000−333−3000000000000000000000000000000
χ1004-4-44-2-242-42-4-2-2224-2-21022-112-22-1-20023−23−333−30000−232323−231-11-100023−23−333−300000000-333-300000000003−3−33000000000000000000000000000000
χ1014-4-44-2-242-42-4-2-2224-2-21022-112-22-1-200−23233−3−33000023−23−23231-11-1000−23233−3−3300000000-333-30000000000−333−3000000000000000000000000000000
χ1024-4-44-2-242-42-4-2-2224-2-21022-112-22-1-200−23233−3−330000−232323−231-11-1000−23233−3−33000000003-3-3300000000003−3−33000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-8-48-4448-4-84-4-842-4-40-2444-4-22-4400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-444-4-444-4442220-2-2-2-22-222-2−4i34i3002i32i3−2i3−2i300000000-111-102i3−2i300−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-444-4-444-4442220-2-2-2-22-222-24i3−4i300−2i3−2i32i32i300000000-111-10−2i32i300i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-48-4444-8-8-44-42-40-42-44-2444-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4-4-4-84-844842-4-402-4-444-2-244000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-4-444444-442220222-2-2-2-2-2-200006i−6i6i−6i00000000-1-11100000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-4-444444-442220222-2-2-2-2-2-20000−6i6i−6i6i00000000-1-111000003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-4-8444-48-84-4-42-404-24-4-2-444200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44444-4-444-42220-2-2-22-22-2-220043−43−232323−2300000000-11-11000−23233−3−3300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44444-4-444-42220-2-2-22-22-2-2200−434323−23−232300000000-11-1100023−23−333−300000000000000000000000000000000000000000000000000000000

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