Finite Group Databasebeta

← Group #13169194

Character table — Group #13169194

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order1222333446666666661212121233366666666612121212121212121212121222444444666612121212366612121212121244666666121212121212121212121212121212121212121212121212121212121212441212121224444661212121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111-1-1-1-11111111111-11111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-11111-1-111-1-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1-111-1-111-1-111-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-111-1-1-1-11111-1-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1111111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1-1111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1111-1-111-1-1-1-111-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1111-111-111-1-1-1-11111-1-11-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1111111111111-1-1-1-11-11-1-111-1-111-1-1111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-11111111111-1-111-11-11-1-1-11111-1-111-1-1-11
χ17222222-122222-1-12-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222000022222222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-1-122220000-1-1-1-1-1-1-1-1-1-1-1-122000020000-1-1-1-10000000000
χ18222222-122222-1-12-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-200002222-2-2-2-2-1-1-1-122-1-1-1-1-22-1-1-1-1-1-111110000-1-1-2-222000011111111-1-1-1-1-2-20000-2000011110000000000
χ19222222-122222-1-12-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2220000-2-2-2-22222-1-1-1-122-1-1-1-12-2111111-1-1-1-100001122-2-20000-1-1-1-1-1-1-1-11111-2-20000-2000011110000000000
χ20222222-122222-1-12-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-21111111111000011-2-2-2-2000011111111111122000020000-1-1-1-10000000000
χ21222222-1-2-2222-1-12-12211112-1-122-1-1-1-1-1-12-2-2-2-2111111112222000022222222-1-1-1-1-2-21111-2-2-1-1-1-1-1-1-1-111000011-2-2-2-20000-1-1-1-111111111220000-2000011-1-10000000000
χ22222222-1-2-2222-1-12-12211112-1-122-1-1-1-1-1-12-2-2-2-21111111122-2-200002222-2-2-2-2-1-1-1-1-2-211112-2-1-1-1-1-1-111-1-100001122-2-200001111-1-1-1-11111-2-2000020000-1-1110000000000
χ23222222-1-2-2222-1-12-12211112-1-122-1-1-1-1-1-12-2-2-2-211111111-2-2220000-2-2-2-22222-1-1-1-1-2-21111-22111111-1-1110000-1-1-2-2220000-1-1-1-11111-1-1-1-1-2-2000020000-1-1110000000000
χ24222222-1-2-2222-1-12-12211112-1-122-1-1-1-1-1-12-2-2-2-211111111-2-2-2-20000-2-2-2-2-2-2-2-2-1-1-1-1-2-211112211111111-1-10000-1-1222200001111-1-1-1-1-1-1-1-1220000-2000011-1-10000000000
χ2522222-1222-1-1222222-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122002222-1-1-1-10000-1-1-1-1-1-1-1-1-1-10222-1-1-1-1000022222200-1-1-1-1-1-100000000-1-1-1-100-1-1-1-10002200000000-1-1-1-100
χ2622222-1222-1-1222222-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-12200-2-2-2-2-1-1-1-10000-1-1-1-1-1-1-1-1-1-10222-1-1-1-10000-2-2-2-22200-1-1111100000000-1-1-1-1001111000-2-200000000111100
χ2722222-1222-1-1222222-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-200222211110000-1-1-1-1-1-1-1-1-1-10-2-2-2111100002222-2-20011-1-1-1-100000000111100-1-1-1-1000-2-200000000111100
χ2822222-1222-1-1222222-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-200-2-2-2-211110000-1-1-1-1-1-1-1-1-1-10-2-2-211110000-2-2-2-2-2-2001111110000000011110011110002200000000-1-1-1-100
χ2922222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111220022-2-2-1-1-1-10000-1-1-1-11111110-222-1-1-1-1000022-2-2-2-20011-1-11100000000111100-1-1110002-200000000-1-11100
χ3022222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-211112200-2-222-1-1-1-10000-1-1-1-11111110-222-1-1-1-10000-2-222-2-2001111-1-10000000011110011-1-1000-220000000011-1-100
χ3122222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-20022-2-211110000-1-1-1-111111102-2-21111000022-2-22200-1-1-1-11100000000-1-1-1-100-1-111000-220000000011-1-100
χ3222222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-200-2-22211110000-1-1-1-111111102-2-211110000-2-2222200-1-111-1-100000000-1-1-1-10011-1-10002-200000000-1-11100
χ332222-1222222-122-12-122222-1-12-1-122-1-1-12-1-1-122-1-1-1-12222002222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1200000002222-1-1-1-100-1-1002222-1-1-1-1-1-1-1-1000000-1-1-1-1022000000-1-1-1-1000000
χ342222-1222222-122-12-122222-1-12-1-122-1-1-12-1-1-122-1-1-1-122220022-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1200000002222111100-1-100-2-2-2-2-1-1-1-1-1-1-1-100000011110-2-20000001111000000
χ352222-1222222-122-12-122222-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200-2-2222200001111-1-1-1-1-1-1-1-1-1-1-20000000-2-2-2-2-1-1-1-1001100222211111111000000-1-1-1-10-2-20000001111000000
χ362222-1222222-122-12-122222-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200-2-2-2-2-2-200001111-1-1-1-1-1-1-1-1-1-1-20000000-2-2-2-21111001100-2-2-2-2111111110000001111022000000-1-1-1-1000000
χ372222-122-2-222-122-12-12-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-2002222-2-20000-1-1-1-1-1-1-1-1111111-2000000022-2-2-1-11100110022-2-2-1-1-1-11111000000-1-11102-2000000-1-111000000
χ382222-122-2-222-122-12-12-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-20022-2-2220000-1-1-1-1-1-1-1-1111111-2000000022-2-211-1-1001100-2-222-1-1-1-1111100000011-1-10-2200000011-1-1000000
χ392222-122-2-222-122-12-12-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-200-2-222-2-200001111-1-1-1-111111120000000-2-222-1-11100-1-10022-2-21111-1-1-1-1000000-1-1110-2200000011-1-1000000
χ402222-122-2-222-122-12-12-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-200-2-2-2-22200001111-1-1-1-111111120000000-2-22211-1-100-1-100-2-2221111-1-1-1-100000011-1-102-2000000-1-111000000
χ412-22-2222002-2-22-2-2-22-200002222-22-2-22-2-2-20000000000002-22i−2i000022-2-22i2i−2i−2i22-2-2000000002-222-2-22i−2i00000000000000002i2i−2i−2i000000002i−2i000000000002i−2i0000000000
χ422-22-2222002-2-22-2-2-22-200002222-22-2-22-2-2-20000000000002-2−2i2i000022-2-2−2i−2i2i2i22-2-2000000002-222-2-2−2i2i0000000000000000−2i−2i2i2i00000000−2i2i00000000000−2i2i0000000000
χ432-22-2222002-2-22-2-2-22-200002222-22-2-22-2-2-2000000000000-222i−2i0000-2-2222i2i−2i−2i22-2-200000000-22-2-2222i−2i00000000000000002i2i−2i−2i00000000−2i2i00000000000−2i2i0000000000
χ442-22-2222002-2-22-2-2-22-200002222-22-2-22-2-2-2000000000000-22−2i2i0000-2-222−2i−2i2i2i22-2-200000000-22-2-222−2i2i0000000000000000−2i−2i2i2i000000002i−2i000000000002i−2i0000000000
χ452-22-222-1002-2-2-11-212-233−3−32-1-12-2-111-111-2000033−3−333−3−32-22i−2i000022-2-22i2i−2i−2i-1-1110033−3−300-11-1-111−ii−i3i300003−300000000−i−iii−i3−i3i3i333−3−32i−2i000000000−i3i3−ii0000000000
χ462-22-222-1002-2-2-11-212-233−3−32-1-12-2-111-111-2000033−3−333−3−32-2−2i2i000022-2-2−2i−2i2i2i-1-1110033−3−300-11-1-111i−ii3−i300003−300000000ii−i−ii3i3−i3−i333−3−3−2i2i000000000i3−i3i−i0000000000
χ472-22-222-1002-2-2-11-212-233−3−32-1-12-2-111-111-2000033−3−333−3−3-222i−2i0000-2-2222i2i−2i−2i-1-1110033−3−3001-111-1-1−ii−i3i30000−3300000000−i−iii−i3−i3i3i3−3−333−2i2i000000000i3−i3i−i0000000000
χ482-22-222-1002-2-2-11-212-233−3−32-1-12-2-111-111-2000033−3−333−3−3-22−2i2i0000-2-222−2i−2i2i2i-1-1110033−3−3001-111-1-1i−ii3−i30000−3300000000ii−i−ii3i3−i3−i3−3−3332i−2i000000000−i3i3−ii0000000000
χ492-22-222-1002-2-2-11-212-2−3−3332-1-12-2-111-111-20000−3−333−3−3332-22i−2i000022-2-22i2i−2i−2i-1-11100−3−33300-11-1-111−iii3−i30000−3300000000−i−iiii3i3−i3−i3−3−3332i−2i000000000i3−i3−ii0000000000
χ502-22-222-1002-2-2-11-212-2−3−3332-1-12-2-111-111-20000−3−333−3−3332-2−2i2i000022-2-2−2i−2i2i2i-1-11100−3−33300-11-1-111i−i−i3i30000−3300000000ii−i−i−i3−i3i3i3−3−333−2i2i000000000−i3i3i−i0000000000
χ512-22-222-1002-2-2-11-212-2−3−3332-1-12-2-111-111-20000−3−333−3−333-222i−2i0000-2-2222i2i−2i−2i-1-11100−3−333001-111-1-1−iii3−i300003−300000000−i−iiii3i3−i3−i333−3−3−2i2i000000000−i3i3i−i0000000000
χ522-22-222-1002-2-2-11-212-2−3−3332-1-12-2-111-111-20000−3−333−3−333-22−2i2i0000-2-222−2i−2i2i2i-1-11100−3−333001-111-1-1i−i−i3i300003−300000000ii−i−i−i3−i3i3i333−3−32i−2i000000000i3−i3−ii0000000000
χ532-2-222222-2-2-2-2-2-222-222-22-2222-2-2-2-22-2-2222-22-22-22-22-22-200002-22-2000000002-2-222-22-22-20000000000002-22-20000002-22-2000000000000002-22-20000000000000000000
χ542-2-222222-2-2-2-2-2-222-222-22-2222-2-2-2-22-2-2222-22-22-22-22-22-20000-22-22000000002-2-222-22-22-2000000000000-22-22000000-22-2200000000000000-22-220000000000000000000
χ552-2-22222-22-2-2-2-2-222-22-22-22222-2-2-2-22-2-222-22-22-22-22-22-2200002-2-22000000002-2-22-22-22-220000000000002-2-220000002-2-22000000000000002-2-220000000000000000000
χ562-2-22222-22-2-2-2-2-222-22-22-22222-2-2-2-22-2-222-22-22-22-22-22-220000-222-2000000002-2-22-22-22-22000000000000-222-2000000-222-200000000000000-222-20000000000000000000
χ572-2-222-122-211-2-2-222-2-12-22-2-12-111112-2-2-1-12-2-112-22-2-11-1100002-22-2−i3i3−i3i30000-111-1-11-11-110000−i3i3−i3i300002-22-20000−i3i3-11-1100000000−i3i3−i3i300-11-110000000000000−i3i3−i3i300
χ582-2-222-122-211-2-2-222-2-12-22-2-12-111112-2-2-1-12-2-112-22-2-11-1100002-22-2i3−i3i3−i30000-111-1-11-11-110000i3−i3i3−i300002-22-20000i3−i3-11-1100000000i3−i3i3−i300-11-110000000000000i3−i3i3−i300
χ592-2-222-122-211-2-2-222-2-12-22-2-12-111112-2-2-1-12-2-112-22-2-11-110000-22-22−i3i3−i3i30000-111-1-11-11-110000−i3i3−i3i30000-22-220000−i3i31-11-100000000−i3i3−i3i3001-11-10000000000000i3−i3i3−i300
χ602-2-222-122-211-2-2-222-2-12-22-2-12-111112-2-2-1-12-2-112-22-2-11-110000-22-22i3−i3i3−i30000-111-1-11-11-110000i3−i3i3−i30000-22-220000i3−i31-11-100000000i3−i3i3−i3001-11-10000000000000−i3i3−i3i300
χ612-2-222-12-2211-2-2-222-2-1-22-22-12-111112-2-2-1-1-221-1-22-221-11-100002-2-22−i3i3−i3i30000-111-11-11-11-10000−i3i3−i3i300002-2-220000i3−i3-111-100000000i3−i3i3−i300-111-10000000000000−i3i3i3−i300
χ622-2-222-12-2211-2-2-222-2-1-22-22-12-111112-2-2-1-1-221-1-22-221-11-100002-2-22i3−i3i3−i30000-111-11-11-11-10000i3−i3i3−i300002-2-220000−i3i3-111-100000000−i3i3−i3i300-111-10000000000000i3−i3−i3i300
χ632-2-222-12-2211-2-2-222-2-1-22-22-12-111112-2-2-1-1-221-1-22-221-11-10000-222-2−i3i3−i3i30000-111-11-11-11-10000−i3i3−i3i30000-222-20000i3−i31-1-1100000000i3−i3i3−i3001-1-110000000000000i3−i3−i3i300
χ642-2-222-12-2211-2-2-222-2-1-22-22-12-111112-2-2-1-1-221-1-22-221-11-10000-222-2i3−i3i3−i30000-111-11-11-11-10000i3−i3i3−i30000-222-20000−i3i31-1-1100000000−i3i3−i3i3001-1-110000000000000−i3i3i3−i300
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χ1124-4-4444-24-4-4-4-4224-2-44-22-224-2-2-4-422-222-244-44-4-22-22-22-220000000000000000-222-24-4-22-22000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4444-2-44-4-4-4224-2-442-22-24-2-2-4-422-222-24-44-442-22-22-22-20000000000000000-222-2-442-22-2000000000000000000000000000000000000000000000000000000000000000
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χ1214-4-44-24-2-44-4-4222-2-2242-22-2-21-222221-1-1-2-22-2-44-11-112-22-2000000000000−2323−23231-1-112-2-11-1100000000000000000023−230000003−33−3−33−3300000000000000000000000000000
χ1224-4-44-2-244-4222-4-4-242-24-44-41-2-2-1-122-222-21-22-22-22-22-22-2200004-44-4000000001-1-111-11-11-1000000000000-22-22000000-22-22000000000000001-11-10000000000000000000
χ1234-4-44-2-244-4222-4-4-242-24-44-41-2-2-1-122-222-21-22-22-22-22-22-220000-44-44000000001-1-111-11-11-10000000000002-22-20000002-22-200000000000000-11-110000000000000000000
χ1244-4-44-2-24-44222-4-4-242-2-44-441-2-2-1-122-222-212-22-22-22-22-22-200004-4-44000000001-1-11-11-11-11000000000000-222-2000000-222-2000000000000001-1-110000000000000000000
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χ1268888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4222222220000000000000000-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1278888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-48004-4-4-884-84400002-4-4-224-444-44-200000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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χ13088-8-8-4-4-4004-4-44-44444−434343−43222-22-22-2-22-2-2000023−23−232323−23−23230000000000000000-11-1100−333−3000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-4800-4448-84-8-4400002-4-42-2-444-444-2000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1348-8-88-4-4-48-844444-4-44-4-44-44222-2-2-2-22-2-222-44-442-22-22-22-20000000000000000-111-12-2-11-11000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4-4-4-8844444-4-44-44-44-4222-2-2-2-22-2-2224-44-4-22-22-22-220000000000000000-111-1-221-11-1000000000000000000000000000000000000000000000000000000000000000

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