Finite Group Databasebeta

← Group #13168722

Character table — Group #13168722

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order1222333446666666661212121233366666666612121212121212121212121222444444666612121212366612121212121244666666121212121212121212121212121212121212121212121212121212121212221212121244444661212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111111-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111111111-11-1-1-1-1-1-11111-1-1111111-1-1111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111
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
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11-111-1-111-1-111-1-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11-1111-1-1-1-111-1-111-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-111-1-11111-1-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-11-1-11111-1-1-1-111-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-11-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111111111-1-1-1-11-1111-1-1-1-111-1-1111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111111111-1-111-11-11-111-1-111-1-111-1-1-11
χ17222222-12222-1-122-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-12222000022222222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122220000-1-10000-1-1-1-1-1-1-1-1-1-1-1-122000020000-1-1-1-10000000000
χ18222222-12222-1-122-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-200002222-2-2-2-2-1-1-1-122-1-1-1-12-2-1-1-1-1-1-1111122-2-20000-1-1000011111111-1-1-1-1-2-20000-2000011110000000000
χ19222222-12222-1-122-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2220000-2-2-2-22222-1-1-1-122-1-1-1-1-22111111-1-1-1-1-2-2220000110000-1-1-1-1-1-1-1-11111-2-20000-2000011110000000000
χ20222222-12222-1-122-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-21111111111-2-2-2-2000011000011111111111122000020000-1-1-1-10000000000
χ21222222-1-2-222-1-122-12211112-1-12-1-12-1-1-1-12-2-2-2-2111111112222000022222222-1-1-1-1-2-21111-2-2-1-1-1-1-1-1-1-111-2-2-2-20000110000-1-1-1-111111111220000-20000-1-1110000000000
χ22222222-1-2-222-1-122-12211112-1-12-1-12-1-1-1-12-2-2-2-21111111122-2-200002222-2-2-2-2-1-1-1-1-2-21111-22-1-1-1-1-1-111-1-1-2-22200001100001111-1-1-1-11111-2-200002000011-1-10000000000
χ23222222-1-2-222-1-122-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2220000-2-2-2-22222-1-1-1-1-2-211112-2111111-1-11122-2-20000-1-10000-1-1-1-11111-1-1-1-1-2-200002000011-1-10000000000
χ24222222-1-2-222-1-122-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2-2-20000-2-2-2-2-2-2-2-2-1-1-1-1-2-211112211111111-1-122220000-1-100001111-1-1-1-1-1-1-1-1220000-20000-1-1110000000000
χ2522222-1222-1222-1222-12222-12-1-1-1-1-1222-1-1-1-1222222-1-1-1-122002222-1-1-1-10000-1-1-1-1-1-1-1-1-1-12022-1-1-1-10000-1-100222222-1-1-1-100000000-1-1-1-100-1-1-1-10002200000000-1-1-1-100
χ2622222-1222-1222-1222-12222-12-1-1-1-1-1222-1-1-1-1222222-1-1-1-12200-2-2-2-2-1-1-1-10000-1-1-1-1-1-1-1-1-1-12022-1-1-1-10000-1-100-2-2-2-222111100000000-1-1-1-1001111000-2-200000000111100
χ2722222-1222-1222-1222-12222-12-1-1-1-1-1222-1-1-1-1222222-1-1-1-1-2-200222211110000-1-1-1-1-1-1-1-1-1-1-20-2-21111000011002222-2-2-1-1-1-100000000111100-1-1-1-1000-2-200000000111100
χ2822222-1222-1222-1222-12222-12-1-1-1-1-1222-1-1-1-1222222-1-1-1-1-2-200-2-2-2-211110000-1-1-1-1-1-1-1-1-1-1-20-2-2111100001100-2-2-2-2-2-211110000000011110011110002200000000-1-1-1-100
χ2922222-12-2-2-1222-1222-1-2-2-2-2-12-1-1-1-1-1222-1-111-2-2-2-2-2-21111220022-2-2-1-1-1-10000-1-1-1-1111111-2022-1-1-1-10000110022-2-2-2-2-1-11100000000111100-1-1110002-200000000-1-11100
χ3022222-12-2-2-1222-1222-1-2-2-2-2-12-1-1-1-1-1222-1-111-2-2-2-2-2-211112200-2-222-1-1-1-10000-1-1-1-1111111-2022-1-1-1-100001100-2-222-2-211-1-10000000011110011-1-1000-220000000011-1-100
χ3122222-12-2-2-1222-1222-1-2-2-2-2-12-1-1-1-1-1222-1-111-2-2-2-2-2-21111-2-20022-2-211110000-1-1-1-111111120-2-211110000-1-10022-2-222-1-11100000000-1-1-1-100-1-111000-220000000011-1-100
χ3222222-12-2-2-1222-1222-1-2-2-2-2-12-1-1-1-1-1222-1-111-2-2-2-2-2-21111-2-200-2-22211110000-1-1-1-111111120-2-211110000-1-100-2-2222211-1-100000000-1-1-1-10011-1-10002-200000000-1-11100
χ332222-122222-1222-12-122222-1-12-122-1-1-1-12-122-1-1-1-1-1-12222002222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-102000000222200-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1000000-1-1-1-1022000000-1-1-1-1000000
χ342222-122222-1222-12-122222-1-12-122-1-1-1-12-122-1-1-1-1-1-122220022-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-102000000222200-1-1111100-2-2-2-2-1-1-1-1-1-1-1-100000011110-2-20000001111000000
χ352222-122222-1222-12-122222-1-12-122-1-1-1-12-122-1-1-1-1-1-1222200-2-2222200001111-1-1-1-1-1-1-1-1-1-10-2000000-2-2-2-20011-1-1-1-100222211111111000000-1-1-1-10-2-20000001111000000
χ362222-122222-1222-12-122222-1-12-122-1-1-1-12-122-1-1-1-1-1-1222200-2-2-2-2-2-200001111-1-1-1-1-1-1-1-1-1-10-2000000-2-2-2-20011111100-2-2-2-2111111110000001111022000000-1-1-1-1000000
χ372222-122-2-22-1222-12-12-2-2-2-2-1-12-122-1-1-1-12-1-2-2111111-2-2-2-2002222-2-20000-1-1-1-1-1-1-1-11111110-200000022-2-20011-1-1110022-2-2-1-1-1-11111000000-1-11102-2000000-1-111000000
χ382222-122-2-22-1222-12-12-2-2-2-2-1-12-122-1-1-1-12-1-2-2111111-2-2-2-20022-2-2220000-1-1-1-1-1-1-1-11111110-200000022-2-2001111-1-100-2-222-1-1-1-1111100000011-1-10-2200000011-1-1000000
χ392222-122-2-22-1222-12-12-2-2-2-2-1-12-122-1-1-1-12-1-2-2111111-2-2-2-200-2-222-2-200001111-1-1-1-111111102000000-2-22200-1-1-1-1110022-2-21111-1-1-1-1000000-1-1110-2200000011-1-1000000
χ402222-122-2-22-1222-12-12-2-2-2-2-1-12-122-1-1-1-12-1-2-2111111-2-2-2-200-2-2-2-22200001111-1-1-1-111111102000000-2-22200-1-111-1-100-2-2221111-1-1-1-100000011-1-102-2000000-1-111000000
χ4122-2-222200222-2-2-2-2-2-2000022222-2-2-22-2-2-20000000000002-22-2000022-2-222-2-222-2-2000000002-222-2-22-2000000000000000022-2-2000000002-20000000002-2000000000000
χ4222-2-222200222-2-2-2-2-2-2000022222-2-2-22-2-2-20000000000002-2-22000022-2-2-2-22222-2-2000000002-222-2-2-220000000000000000-2-22200000000-22000000000-22000000000000
χ4322-2-222200222-2-2-2-2-2-2000022222-2-2-22-2-2-2000000000000-222-20000-2-22222-2-222-2-200000000-22-2-2222-2000000000000000022-2-200000000-22000000000-22000000000000
χ4422-2-222200222-2-2-2-2-2-2000022222-2-2-22-2-2-2000000000000-22-220000-2-222-2-22222-2-200000000-22-2-222-220000000000000000-2-222000000002-20000000002-2000000000000
χ4522-2-222-10022-11-2-21-2-233−3−32-1-12-11-21-111-2000033−3−333−3−32-22-2000022-2-222-2-2-1-1110033−3−300-11-1-111-113−3000000003−30000-1-11133−3−333−3−32-2000000000-113−30000000000
χ4622-2-222-10022-11-2-21-2-233−3−32-1-12-11-21-111-2000033−3−333−3−32-2-22000022-2-2-2-222-1-1110033−3−300-11-1-1111-1−33000000003−3000011-1-1−3−33333−3−3-220000000001-1−330000000000
χ4722-2-222-10022-11-2-21-2-233−3−32-1-12-11-21-111-2000033−3−333−3−3-222-20000-2-22222-2-2-1-1110033−3−3001-111-1-1-113−300000000−330000-1-11133−3−3−3−333-220000000001-1−330000000000
χ4822-2-222-10022-11-2-21-2-233−3−32-1-12-11-21-111-2000033−3−333−3−3-22-220000-2-222-2-222-1-1110033−3−3001-111-1-11-1−3300000000−33000011-1-1−3−333−3−3332-2000000000-113−30000000000
χ4922-2-222-10022-11-2-21-2-2−3−3332-1-12-11-21-111-20000−3−333−3−3332-22-2000022-2-222-2-2-1-11100−3−33300-11-1-111-11−3300000000−330000-1-111−3−333−3−3332-2000000000-11−330000000000
χ5022-2-222-10022-11-2-21-2-2−3−3332-1-12-11-21-111-20000−3−333−3−3332-2-22000022-2-2-2-222-1-11100−3−33300-11-1-1111-13−300000000−33000011-1-133−3−3−3−333-220000000001-13−30000000000
χ5122-2-222-10022-11-2-21-2-2−3−3332-1-12-11-21-111-20000−3−333−3−333-222-20000-2-22222-2-2-1-11100−3−333001-111-1-1-11−33000000003−30000-1-111−3−33333−3−3-220000000001-13−30000000000
χ5222-2-222-10022-11-2-21-2-2−3−3332-1-12-11-21-111-20000−3−333−3−333-22-220000-2-222-2-222-1-11100−3−333001-111-1-11-13−3000000003−3000011-1-133−3−333−3−32-2000000000-11−330000000000
χ532-22-22222-2-2-2-2-22-222-22-22-2222-2-2-222-2-22-22-22-22-22-22-22-200002i−2i2i−2i000000002-2-222-22-22-200000000000000002i−2i2i−2i002i−2i2i−2i000000000000002i−2i2i−2i0000000000000000000
χ542-22-22222-2-2-2-2-22-222-22-22-2222-2-2-222-2-22-22-22-22-22-22-22-20000−2i2i−2i2i000000002-2-222-22-22-20000000000000000−2i2i−2i2i00−2i2i−2i2i00000000000000−2i2i−2i2i0000000000000000000
χ552-22-2222-22-2-2-2-22-222-2-22-22222-2-2-222-2-22-2-22-22-22-22-22-2200002i−2i−2i2i000000002-2-22-22-22-2200000000000000002i−2i−2i2i002i−2i−2i2i000000000000002i−2i−2i2i0000000000000000000
χ562-22-2222-22-2-2-2-22-222-2-22-22222-2-2-222-2-22-2-22-22-22-22-22-220000−2i2i2i−2i000000002-2-22-22-22-220000000000000000−2i2i2i−2i00−2i2i2i−2i00000000000000−2i2i2i−2i0000000000000000000
χ572-22-22-122-21-2-2-2-1-22212-22-2-12-1111-12-2-2-11-112-22-22-2-11-1100002i−2i2i−2i−i3i3−i3i30000-111-1-11-11-110000−i3i3−i3i30000−i3i3002i−2i2i−2i00−ii−ii00000000−i3i3−i3i300−ii−ii00000000000003−33−300
χ582-22-22-122-21-2-2-2-1-22212-22-2-12-1111-12-2-2-11-112-22-22-2-11-1100002i−2i2i−2ii3−i3i3−i30000-111-1-11-11-110000i3−i3i3−i30000i3−i3002i−2i2i−2i00−ii−ii00000000i3−i3i3−i300−ii−ii0000000000000−33−3300
χ592-22-22-122-21-2-2-2-1-22212-22-2-12-1111-12-2-2-11-112-22-22-2-11-110000−2i2i−2i2i−i3i3−i3i30000-111-1-11-11-110000−i3i3−i3i30000−i3i300−2i2i−2i2i00i−ii−i00000000−i3i3−i3i300i−ii−i0000000000000−33−3300
χ602-22-22-122-21-2-2-2-1-22212-22-2-12-1111-12-2-2-11-112-22-22-2-11-110000−2i2i−2i2ii3−i3i3−i30000-111-1-11-11-110000i3−i3i3−i30000i3−i300−2i2i−2i2i00i−ii−i00000000i3−i3i3−i300i−ii−i00000000000003−33−300
χ612-22-22-12-221-2-2-2-1-2221-22-22-12-1111-12-2-2-111-1-22-22-221-11-100002i−2i−2i2i−i3i3−i3i30000-111-11-11-11-10000−i3i3−i3i30000i3−i3002i−2i−2i2i00−iii−i00000000i3−i3i3−i300−iii−i00000000000003−3−3300
χ622-22-22-12-221-2-2-2-1-2221-22-22-12-1111-12-2-2-111-1-22-22-221-11-100002i−2i−2i2ii3−i3i3−i30000-111-11-11-11-10000i3−i3i3−i30000−i3i3002i−2i−2i2i00−iii−i00000000−i3i3−i3i300−iii−i0000000000000−333−300
χ632-22-22-12-221-2-2-2-1-2221-22-22-12-1111-12-2-2-111-1-22-22-221-11-10000−2i2i2i−2i−i3i3−i3i30000-111-11-11-11-10000−i3i3−i3i30000i3−i300−2i2i2i−2i00i−i−ii00000000i3−i3i3−i300i−i−ii0000000000000−333−300
χ642-22-22-12-221-2-2-2-1-2221-22-22-12-1111-12-2-2-111-1-22-22-221-11-10000−2i2i2i−2ii3−i3i3−i30000-111-11-11-11-10000i3−i3i3−i30000−i3i300−2i2i2i−2i00i−i−ii00000000−i3i3−i3i300i−i−ii00000000000003−3−3300
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χ984-44-444-2-44-4-4224-4-24-42-22-24-2-2-4224-222-2-4-44-442-22-22-22-20000000000000000-222-2-442-22-2000000000000000000000000000000000000000000000000000000000000000
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χ1114-4-4444400-4-4-44-44-4-440000444-4-44-4-4-44-4400000000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
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χ1224-4-44-24-200-422-2-4-222423−23−2323-21-222-22-1-112-20000−333−323−23−232300000000000023−23−23231-11-100−333−300000000000000000000000000−333−33-3-3300000000000000000000000000000
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χ1244-4-44-24-200-422-2-4-2224−232323−23-21-222-22-1-112-200003−3−33−232323−2300000000000023−23−23231-11-1003−3−3300000000000000000000000000−333−3-333-300000000000000000000000000000
χ1254-4-44-24-200-422-2-4-2224−232323−23-21-222-22-1-112-200003−3−33−232323−23000000000000−232323−231-11-1003−3−33000000000000000000000000003−3−333-3-3300000000000000000000000000000
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
χ12888-8-8-4-4800-4-48-844-84400002-4-42-44-24-444-2000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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χ13088-8-8-4-4-400-4-4-4444444−43−43434322222-2-2-22-2-2-200002323−23−232323−23−230000000000000000-1-11100−3−333000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-4-48-84444-44-4-44-44-44222-2-2-222-2-22-2-44-442-22-22-22-20000000000000000-111-12-2-11-11000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4-4-4-884444-44-4-444-44-4222-2-2-222-2-22-24-44-4-22-22-22-220000000000000000-111-1-221-11-1000000000000000000000000000000000000000000000000000000000000000
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χ1358-8-88-4-4-400444-44-444-4−434343−43222-2-22-2-2-22-22000023−23−232323−23−23230000000000000000-11-1100−333−3000000000000000000000000000000000000000000000000000000000000000

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