Finite Group Databasebeta

← Group #13169408

Character table — Group #13169408

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666633346666666661212121212121212443666121212121212121212444441212121212121212121212121212121212121212441212121212121212121212121212244441212446121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-11111-1-111111111111111-1-1-1-1111-111-1-111-1-1-11-11-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111-1-111111-1-11111111111111111-1-111-1-1-11-1-111-1-1111-11-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-11-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111111111111111111111111111111111-1-11111111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-11-11-1-1-1-11111-1-1-11
χ71111111111111111111111111111111111111-1-11111111111111-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-11-11-1-1-111-1-111-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1111-1-1-1-1-111-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-11-1-11111-1-111111111-1-1-1-111-11-11-1-11111-1-1-1-11-1-11-111111-11-1-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-111-1-1-1-11111-111-1-11111-11-11-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-11-1-1-1-11-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-11111-1-111-1-1-1-1-1-1-1-11111-1-11-1-11-1111-1-1-1-11111-1-11-1-1111-1-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1111111-11-11-1-11111-1-1-1-1-111-1-111-1-1-11-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-11111111-11-111-1-1-1-111111-1-11-111-1-11-11-1-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-11-1-1-11111-1-1-1-1111-1-111-111-11-1
χ17222222-1222-1-1-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1222-1-1-1-1-1-100222220022-1-1-1-122-1-1-1-1-1-1-1-100-1-1000200-1-100-1-1202000000-1-10000
χ18222222-1222-1-1-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1222-1-1-1-1-1-100-22-22200-2-2-1-1-1-122-1-1-1-1-1-1-1-10011000-200110011-20-2000000110000
χ19222222-1222-1-1-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1002-22-2-200221111-2-21111111100-1-1000200-1-100-1-1-20-2000000110000
χ20222222-1222-1-1-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-100-2-2-2-2-200-2-21111-2-2111111110011000-200110011202000000-1-10000
χ21222222-1222-1-1-12222-1-1-22-1-12-1-1-12-111-2-2111122-1-1-1-1-2-2-2111111002-2-2-2-200-2-211-1-122-1-1-1-1111100-110002001100-1-1-2020000001-10000
χ22222222-1222-1-1-12222-1-1-22-1-12-1-1-12-111-2-2111122-1-1-1-1-2-2-211111100-2-22-2-2002211-1-122-1-1-1-11111001-1000-200-1-1001120-2000000-110000
χ23222222-1222-1-1-12222-1-1-22-1-12-1-1-12-111-2-21111-2-2-1-1-1-1-2-2-21111110022-22200-2-2-1-111-2-21111-1-1-1-100-110002001100-1-120-2000000-110000
χ24222222-1222-1-1-12222-1-1-22-1-12-1-1-12-111-2-21111-2-2-1-1-1-1-2-2-211111100-222220022-1-111-2-21111-1-1-1-1001-1000-200-1-10011-2020000001-10000
χ2522222-1222-1222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-122020-1-122002222-1-1-1-1-1-1-1-1-1-10000-1-120-1-100-1-10002020000000-1-100
χ2622222-1222-1222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-1-2-2020-1-1-2-2002222-1-1-1-1-1-1-1-1-1-1000011-20110011000-20-200000001100
χ2722222-1222-1222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1220-20112200-2-2-2-211111111110000-1-120-1-100-1-1000-20-200000001100
χ2822222-1222-1222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-2-20-2011-2-200-2-2-2-21111111111000011-201100110002020000000-1-100
χ2922222-1222-1222-1-12-12-1-2-12-1-12-1-1-12-2-211111122-1-1-1-1-211-2-211112-20-20112200-2-222-1-1-1-1-1-1111100001-1-20-1-10011000-2020000000-1100
χ3022222-1222-1222-1-12-12-1-2-12-1-12-1-1-12-2-211111122-1-1-1-1-211-2-21111-220-2011-2-200-2-222-1-1-1-1-1-111110000-11201100-1-100020-200000001-100
χ3122222-1222-1222-1-12-12-1-2-12-1-12-1-1-12-2-2111111-2-2-1-1-1-1-211-2-211112-2020-1-1220022-2-2111111-1-1-1-100001-1-20-1-1001100020-200000001-100
χ3222222-1222-1222-1-12-12-1-2-12-1-12-1-1-12-2-2111111-2-2-1-1-1-1-211-2-21111-22020-1-1-2-20022-2-2111111-1-1-1-10000-11201100-1-1000-2020000000-1100
χ332222-122-1-1222222-1-1-122-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-12220200-1-1-1-100000000000000222222-1-1-1-1-1-1-1-1-1-100002-1-1000000-10
χ342222-122-1-1222222-1-1-122-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-122-20-200-1-11100000000000000-2-2-2-222-11-1-111-1-1110000-21100000010
χ352222-122-1-1222222-1-1-122-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22020011-1-100000000000000-2-222-2-21-111-1-111-1-10000-21100000010
χ362222-122-1-1222222-1-1-122-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-20011110000000000000022-2-2-2-2111111111100002-1-1000000-10
χ372222-122-1-1222222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111112-220-200-1-11100000000000000-2-22-2-221-1-1-11111-1-10000211000000-10
χ382222-122-1-1222222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111112-2-20200-1-1-1-10000000000000022-22-2211-1-1-1-111110000-2-1-100000010
χ392222-122-1-1222222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-2220-200111100000000000000222-22-2-1-11111-1-1-1-10000-2-1-100000010
χ402222-122-1-1222222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-22-2020011-1-100000000000000-2-2-222-2-1111-1-1-1-1110000211000000-10
χ412-22-2222-2-2-22-2-22-222220-2-22-2-2-2-222000000002i−2i2-2-2200000000000000000000002i−2i2i−2i2i2i−2i−2i00002-200000000000000000002-22i−2i000000
χ422-22-2222-2-2-22-2-22-222220-2-22-2-2-2-222000000002i−2i2-2-2200000000000000000000002i−2i2i−2i2i2i−2i−2i0000-220000000000000000000-22−2i2i000000
χ432-22-2222-2-2-22-2-22-222220-2-22-2-2-2-22200000000−2i2i2-2-220000000000000000000000−2i2i−2i2i−2i−2i2i2i00002-200000000000000000002-2−2i2i000000
χ442-22-2222-2-2-22-2-22-222220-2-22-2-2-2-22200000000−2i2i2-2-220000000000000000000000−2i2i−2i2i−2i−2i2i2i0000-220000000000000000000-222i−2i000000
χ4544444-2-244-2-2-2-2-2-24-2-214-2-21-2-211-2-2-2-2-2-211114411114-2-2-2-2111100040-2-20000-2-2-2-2-2-2111111110000000000000000000000000000000
χ4644444-2-244-2-2-2-2-2-24-2-214-2-21-2-211-2-2-2-2-2-21111-4-411114-2-2-2-21111000-40220000222222-1-1-1-1-1-1-1-10000000000000000000000000000000
χ4744444-2-244-2-2-2-2-2-24-2-21-4-2-21-2-211-2-22222-1-1-1-1441111-42222-1-1-1-1000-4022000022-2-2-2-21111-1-1-1-10000000000000000000000000000000
χ4844444-2-244-2-2-2-2-2-24-2-21-4-2-21-2-211-2-22222-1-1-1-1-4-41111-42222-1-1-1-100040-2-20000-2-22222-1-1-1-111110000000000000000000000000000000
χ494444-24-2-2-24-2-2-244-2-21-24-21-2-21-2-2-21-2-244-2-2-2-2001111-2-2-2111111004040000-2-20000000000000000-2-2000-200110011000000000000000
χ504444-24-2-2-24-2-2-244-2-21-24-21-2-21-2-2-21-2-244-2-2-2-2001111-2-2-211111100-40-4000022000000000000000022000200-1-100-1-1000000000000000
χ514444-24-2-2-24-2-2-244-2-21-2-4-21-2-21-2-2-2122-4-42222001111222-1-1-1-1-1-10040-40000220000000000000000-22000-200-1-10011000000000000000
χ524444-24-2-2-24-2-2-244-2-21-2-4-21-2-21-2-2-2122-4-42222001111222-1-1-1-1-1-100-4040000-2-200000000000000002-20002001100-1-1000000000000000
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χ554444-2-24-2-2-2444-2-2-21-2-2-41-2-21-2-2-21-2-4-42222220011112-1-122-1-1-1-14-400000-2-2000000000000000000002-2201100-1-100000000000000000
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χ944-4-44-24-22-242-22-4-42-21-20-2-12212-22-123−230023−23−2323001-11-1000−33−333−30000000002i3−2i3000000000000000000000000−i3i300−3i3i000000000000000
χ954-4-44-24-22-242-22-4-42-21-20-2-12212-22-1−232300−232323−23001-11-10003−33−3−33000000000−2i32i3000000000000000000000000i3−i300−3i3i000000000000000
χ964-4-44-24-22-242-22-4-42-21-20-2-12212-22-1−232300−232323−23001-11-10003−33−3−330000000002i3−2i3000000000000000000000000−i3i3003i−3i000000000000000
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
χ9988-8-8-48-4-44-844-4-884-42-40424-4-2-444-2000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44444-44-442220-22-22-22-2-2-20043−43−23−23232300-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-44444-44-442220-22-22-22-2-2-200−43432323−23−2300-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-444-8-4448-8-4-42-404-2-44-244-4200000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-484448-8-8-44-42-4-40-24-4-24442-400000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4444-444-44-42220-2-22-2-2-2-22200006-66-600-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4444-444-44-42220-2-22-2-2-2-2220000-66-6600-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-4-4-88-84442-4-40244-2-44-4-2400000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-4-44-4444422202-2-2-22-22-2-243−4300−232323−2300-11-11000−23233−3−3300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-4-44-4444422202-2-2-22-22-2-2−43430023−23−232300-11-1100023−23−333−300000000000000000000000000000000000000000000000000000000

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