Finite Group Databasebeta

← Group #13168326

Character table — Group #13168326

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666633346666666661212121212121212443666121212121212121212444441212121212121212121212121212121212121212441212121212121212121212121212244441212226121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1111111-1-1111111111111-1-1111-1-1-111-1-111-1-11-11-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-11111-1-11111111111111111-1-1-1-1-1111-1-111-1-111-11-11-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111111111111111111111111111111111-1-11111111111111-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-11111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-11-11-1-1-111-1-111-11
χ71111111111111111111111111111111111111-1-11111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-11-1-1-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111111111-1-1-1-111-11-11-1-111-1-1-1-1111-1-11-111111-1-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-11-1-1-1-11-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1111-1-1-1-1-11-1111
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-111-1-11111-1-1-111-1-11111-111-1-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-111111111-1-1-1-1-1-1-1-1111111-11-11-1-111-1-1-1-111-111-1-111-1-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1111111-1-1-1-1-1-1111-1-111-11-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-111-1-11111-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-1-1-1111111-1-11-1-1111-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-11111-1-11-1-11-111-1-11-1-11-11
χ17222222-122-1-12-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1222-1-1-1-1-1-1222002222-1-100-1-122-1-1-1-1-1-1-1-100-1-12000-1-100-1-100202000000-1-10000
χ18222222-122-1-12-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1222-1-1-1-1-1-12-2-20022-2-2-1-100-1-122-1-1-1-1-1-1-1-10011-200011001100-20-2000000110000
χ19222222-122-1-12-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1-22200-2-222110011-2-21111111100-1-12000-1-100-1-100-20-2000000110000
χ20222222-122-1-12-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1-2-2-200-2-2-2-2110011-2-2111111110011-200011001100202000000-1-10000
χ21222222-122-1-12-12222-1-1-22-1-12-1-1-12-111-2-2111122-1-1-1-1-2-2-2111111-22-200-2-2221100-1-122-1-1-1-11111001-1-2000-1-100110020-2000000-110000
χ22222222-122-1-12-12222-1-1-22-1-12-1-1-12-111-2-2111122-1-1-1-1-2-2-2111111-2-2200-2-2-2-21100-1-122-1-1-1-1111100-1120001100-1-100-2020000001-10000
χ23222222-122-1-12-12222-1-1-22-1-12-1-1-12-111-2-21111-2-2-1-1-1-1-2-2-211111122-2002222-1-10011-2-21111-1-1-1-1001-1-2000-1-1001100-2020000001-10000
χ24222222-122-1-12-12222-1-1-22-1-12-1-1-12-111-2-21111-2-2-1-1-1-1-2-2-21111112-220022-2-2-1-10011-2-21111-1-1-1-100-1120001100-1-10020-2000000-110000
χ2522222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-120022-1-100222222-1-1-1-1-1-1-1-1-1-100000-1-1200-1-100-1-102020000000-1-100
χ2622222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-1200-2-2-1-10022-2-222-1-1-1-1-1-1-1-1-1-10000011-2001100110-20-200000001100
χ2722222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-200221100-2-222-2-2111111111100000-1-1200-1-100-1-10-20-200000001100
χ2822222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-200-2-21100-2-2-2-2-2-211111111110000011-20011001102020000000-1-100
χ2922222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-211111122-1-1-1-1-211-2-21111-2002-21100-2-22222-1-1-1-1-1-1111100000-11-2001100-1-10-20200000001-100
χ3022222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-211111122-1-1-1-1-211-2-21111-200-221100-2-2-2-222-1-1-1-1-1-11111000001-1200-1-10011020-20000000-1100
χ3122222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-2111111-2-2-1-1-1-1-211-2-211112002-2-1-1002222-2-2111111-1-1-1-100000-11-2001100-1-1020-20000000-1100
χ3222222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-2111111-2-2-1-1-1-1-211-2-21111200-22-1-10022-2-2-2-2111111-1-1-1-1000001-1200-1-100110-20200000001-100
χ332222-122-1222-1222-1-1-122-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10222200-1-100-1-10000000000002222-122-1-1-1-1-1-1-1-1-100002-1-1000000-10
χ342222-122-1222-1222-1-1-122-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1022-2-200-1-10011000000000000-2-222-1-2-21-1-111-1-1110000-21100000010
χ352222-122-1222-1222-1-1-122-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10-2-222001100-1-1000000000000-2-2-2-2122-111-1-111-1-10000-21100000010
χ362222-122-1222-1222-1-1-122-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-20011001100000000000022-2-21-2-211111111100002-1-1000000-10
χ372222-122-1222-1222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-111111111102-22-200-1-100-1-100000000000022-2212-21-1-11111-1-10000-2-1-100000010
χ382222-122-1222-1222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-111111111102-2-2200-1-10011000000000000-2-2-221-22-1-1-1-1-111110000211000000-10
χ392222-122-1222-1222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111110-222-2001100-1-1000000000000-2-22-2-12-211111-1-1-1-10000211000000-10
χ402222-122-1222-1222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111110-22-2200110011000000000000222-2-1-22-111-1-1-1-1110000-2-1-100000010
χ412-22-2222-2-22-22-22-2-22220-2-22-2-2-2-222000000002i−2i2-2-2200000000000000000000002i−2i2i−2i2i2i−2i−2i00002i−2i00000000000000000002i−2i2-2000000
χ422-22-2222-2-22-22-22-2-22220-2-22-2-2-2-222000000002i−2i2-2-2200000000000000000000002i−2i2i−2i2i2i−2i−2i0000−2i2i0000000000000000000−2i2i-22000000
χ432-22-2222-2-22-22-22-2-22220-2-22-2-2-2-22200000000−2i2i2-2-220000000000000000000000−2i2i−2i2i−2i−2i2i2i00002i−2i00000000000000000002i−2i-22000000
χ442-22-2222-2-22-22-22-2-22220-2-22-2-2-2-22200000000−2i2i2-2-220000000000000000000000−2i2i−2i2i−2i−2i2i2i0000−2i2i0000000000000000000−2i2i2-2000000
χ4544444-2-24-2-2-24-2-2-24-2-214-2-21-2-211-2-2-2-2-2-211114411114-2-2-2-2111140000-2-200-2-200-2-2-2-2111111110000000000000000000000000000000
χ4644444-2-24-2-2-24-2-2-24-2-214-2-21-2-211-2-2-2-2-2-21111-4-411114-2-2-2-21111-40000220022002222-1-1-1-1-1-1-1-10000000000000000000000000000000
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χ4844444-2-24-2-2-24-2-2-24-2-21-4-2-21-2-211-2-22222-1-1-1-1-4-41111-42222-1-1-1-140000-2-200-2-2002222-1-1-1-111110000000000000000000000000000000
χ494444-24-2-24-2-2-2-244-2-21-24-21-2-21-2-2-21-2-244-2-2-2-2001111-2-2-21111110440000-2-2000000000000000000-2-2-200011001100000000000000000
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χ514444-24-2-24-2-2-2-244-2-21-2-4-21-2-21-2-2-2122-4-42222001111222-1-1-1-1-1-104-40000-2-20000000000000000002-220001100-1-100000000000000000
χ524444-24-2-24-2-2-2-244-2-21-2-4-21-2-21-2-2-2122-4-42222001111222-1-1-1-1-1-10-44000022000000000000000000-22-2000-1-1001100000000000000000
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χ944-4-44-2-2422-4-4242-2-21-2-20-1-22122-2-120023−2323−23−2323001-11-10−3300−333−300000000000−23230000000000000000000000-33003−3000000000000000
χ954-4-44-2-2422-4-4242-2-21-2-20-1-22122-2-1200−2323−232323−23001-11-103−3003−3−330000000000023−230000000000000000000000-3300−33000000000000000
χ964-4-44-2-2422-4-4242-2-21-2-20-1-22122-2-1200−2323−232323−23001-11-103−3003−3−3300000000000−232300000000000000000000003-3003−3000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-48-4-4-884-84442-4-40244-2-4-44-24000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-4-44-44444422202-2-2-222-2-2-243−4300−23−23232300-1-111000−232333−3−300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-44-44444422202-2-2-222-2-2-2−4343002323−23−2300-1-11100023−23−3−33300000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-44-8-44-448-84-42-404-2-44-244-4200000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-48448-8-4-8-4442-4-40-24-4-24442-400000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-444-44-44-4442220-2-22-2-2-2-22200006-66-600-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-444-44-44-4442220-2-22-2-2-2-2220000-66-6600-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-8444-4-88-4-42-40424-4-24-44-200000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444444-44-4-42220-22-22-2-22-2-20043−43−232323−2300-11-110−2323003−3−3300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444444-44-4-42220-22-22-2-22-2-200−434323−23−232300-11-11023−2300−333−300000000000000000000000000000000000000000000000000000000

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