Finite Group Databasebeta

← Group #13168737

Character table — Group #13168737

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order122233344666666666121212123336666666661212121212121212121212122244121212123666121212121212444466666666121212121212121212121212121212121212121212121212121222444412121212121244466121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111-1-11111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-111-1-1-11-111-1-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-11-1-111-1-1111-1-1-1-111-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-1-111-1-1111-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-11-1-1111-11-1-11111-1-1-111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-11-111-1-11-11-1-11111-1-1-11-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-11-1-11111-1-1-111-1-1111-11-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111111111-1-1111-111-1-1-1-1111-1-1-1-111-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-11-1-111-11-111-1-111-1-11-1-11
χ17222222-12222-1-122-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1200222-1-1-1-1-1-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1220000000000200-1-1-1-100000000
χ18222222-12222-1-122-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-122-1-1-1-1200-222-1-1-1-1-1-11111000022-1-1-2-211111111-1-1-1-1-2-20000000000-200111100000000
χ19222222-12222-1-122-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2222222-1-1-1-122-1-1-1-1-2002-2-2111111-1-1-1-10000-2-21122-1-1-1-1-1-1-1-11111-2-20000000000-200111100000000
χ20222222-12222-1-122-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200-2-2-211111111110000-2-211-2-2111111111111220000000000200-1-1-1-100000000
χ21222222-1-2-222-1-122-12211112-1-122-1-1-1-1-1-12-2-2-2-21111111122222222-1-1-1-1-2-21111-200-222-1-1-1-1-1-1-1-1110000-2-211-2-2-1-1-1-111111111220000000000-200-1-11100000000
χ22222222-1-2-222-1-122-12211112-1-122-1-1-1-1-1-12-2-2-2-21111111122-2-2-2-2-2-2-1-1-1-1-2-21111-200222-1-1-1-1-1-111-1-10000-2-211221111-1-1-1-11111-2-2000000000020011-1-100000000
χ23222222-1-2-222-1-122-12211112-1-122-1-1-1-1-1-12-2-2-2-211111111-2-2222222-1-1-1-1-2-21111200-2-2-2111111-1-111000022-1-1-2-2-1-1-1-11111-1-1-1-1-2-2000000000020011-1-100000000
χ24222222-1-2-222-1-122-12211112-1-122-1-1-1-1-1-12-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-211112002-2-211111111-1-1000022-1-1221111-1-1-1-1-1-1-1-1220000000000-200-1-11100000000
χ2522222-1222-12222-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122000000-1-1-1-1-1-1-1-1-1-12220-1-122-1-1-1-100002222-1-1220000000000-1-1-1-1000000-1-1-1-1-1-102200000000-1-100
χ2622222-1222-12222-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122000000-1-1-1-1-1-1-1-1-1-12-2-20-1-122-1-1-1-10000-2-2-2-2-1-1220000000000-1-1-1-10000001111110-2-2000000001100
χ2722222-1222-12222-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2000000-1-1-1-1-1-1-1-1-1-1-222011-2-211110000222211-2-200000000001111000000-1-1-1-1-1-10-2-2000000001100
χ2822222-1222-12222-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2000000-1-1-1-1-1-1-1-1-1-1-2-2-2011-2-211110000-2-2-2-211-2-20000000000111100000011111102200000000-1-100
χ2922222-12-2-2-12222-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122000000-1-1-1-1111111-22-20-1-122-1-1-1-1000022-2-211-2-200000000001111000000-11-1-11102-200000000-1100
χ3022222-12-2-2-12222-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122000000-1-1-1-1111111-2-220-1-122-1-1-1-10000-2-22211-2-2000000000011110000001-111-1-10-22000000001-100
χ3122222-12-2-2-12222-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-2000000-1-1-1-111111122-2011-2-21111000022-2-2-1-1220000000000-1-1-1-1000000-11-1-1110-22000000001-100
χ3222222-12-2-2-12222-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-2000000-1-1-1-11111112-22011-2-211110000-2-222-1-1220000000000-1-1-1-10000001-111-1-102-200000000-1100
χ332222-122222-122-1222-12222-1-12-1-122-1-1-12-1-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1-1-1-1-10222000000002222-1-1-1-10000-1-1-1-1-1-1-1-1-1-1000000222222-1-1-1-10000000-1-1-1-10000
χ342222-122222-122-1222-12222-1-12-1-122-1-1-12-1-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2200000000222211110000-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-21111000000011110000
χ352222-122222-122-1222-12222-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200-2-21111-1-1-1-1-1-1-1-1-1-1022-200000000-2-2-2-2-1-1-1-100001111111111000000-2-2-2-222-1-1-1-1000000011110000
χ362222-122222-122-1222-12222-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200-2-21111-1-1-1-1-1-1-1-1-1-10-2-2-200000000-2-2-2-21111000011111111110000002222-2-211110000000-1-1-1-10000
χ372222-122-2-22-122-1222-1-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-20022-1-1-1-1-1-1-1-111111102-2-20000000022-2-2-1-111000011-1-1-1-1111100000022-2-22-2-1-1110000000-1-1110000
χ382222-122-2-22-122-1222-1-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-20022-1-1-1-1-1-1-1-11111110-22-20000000022-2-211-1-1000011-1-1-1-11111000000-2-222-2211-1-1000000011-1-10000
χ392222-122-2-22-122-1222-1-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-200-2-21111-1-1-1-111111102-2200000000-2-222-1-1110000-1-11111-1-1-1-1000000-2-2222-2-1-111000000011-1-10000
χ402222-122-2-22-122-1222-1-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-200-2-21111-1-1-1-11111110-22200000000-2-22211-1-10000-1-11111-1-1-1-100000022-2-2-2211-1-10000000-1-1110000
χ4122-2-222200222-2-2-2-2-2-200002222-22-2-22-2-2-20000000000002-22-222-2-222-2-200000000002-22-222-2-22-200000000000022-2-2000000002-200000000000002-20000000000
χ4222-2-222200222-2-2-2-2-2-200002222-22-2-22-2-2-20000000000002-2-22-2-22222-2-200000000002-22-222-2-2-22000000000000-2-22200000000-220000000000000-220000000000
χ4322-2-222200222-2-2-2-2-2-200002222-22-2-22-2-2-2000000000000-222-222-2-222-2-20000000000-22-22-2-2222-200000000000022-2-200000000-220000000000000-220000000000
χ4422-2-222200222-2-2-2-2-2-200002222-22-2-22-2-2-2000000000000-22-22-2-22222-2-20000000000-22-22-2-222-22000000000000-2-222000000002-200000000000002-20000000000
χ4522-2-222-10022-11-2-21-2-233−3−32-1-12-2-111-111-2000033−3−333−3−32-22-222-2-2-1-1110033−3−300002-2-11-1-111-113−30000003−300-1-11133−3−333−3−32-20000000000000-113−300000000
χ4622-2-222-10022-11-2-21-2-233−3−32-1-12-2-111-111-2000033−3−333−3−32-2-22-2-222-1-1110033−3−300002-2-11-1-1111-1−330000003−30011-1-1−3−33333−3−3-2200000000000001-1−3300000000
χ4722-2-222-10022-11-2-21-2-233−3−32-1-12-2-111-111-2000033−3−333−3−3-222-222-2-2-1-1110033−3−30000-221-111-1-1-113−3000000−3300-1-11133−3−3−3−333-2200000000000001-1−3300000000
χ4822-2-222-10022-11-2-21-2-233−3−32-1-12-2-111-111-2000033−3−333−3−3-22-22-2-222-1-1110033−3−30000-221-111-1-11-1−33000000−330011-1-1−3−333−3−3332-20000000000000-113−300000000
χ4922-2-222-10022-11-2-21-2-2−3−3332-1-12-2-111-111-20000−3−333−3−3332-22-222-2-2-1-11100−3−33300002-2-11-1-111-11−33000000−3300-1-111−3−333−3−3332-20000000000000-11−3300000000
χ5022-2-222-10022-11-2-21-2-2−3−3332-1-12-2-111-111-20000−3−333−3−3332-2-22-2-222-1-11100−3−33300002-2-11-1-1111-13−3000000−330011-1-133−3−3−3−333-2200000000000001-13−300000000
χ5122-2-222-10022-11-2-21-2-2−3−3332-1-12-2-111-111-20000−3−333−3−333-222-222-2-2-1-11100−3−3330000-221-111-1-1-11−330000003−300-1-111−3−33333−3−3-2200000000000001-13−300000000
χ5222-2-222-10022-11-2-21-2-2−3−3332-1-12-2-111-111-20000−3−333−3−333-22-22-2-222-1-11100−3−3330000-221-111-1-11-13−30000003−30011-1-133−3−333−3−32-20000000000000-11−3300000000
χ532-22-22222-2-2-2-2-2222-2-22-22-2222-2-2-2-22-2-2222-22-22-22-22-22-2000000002-2-222-22-22-200000000000000000000000000000000000000002i−2i2i−2i00000000000002i−2i2i−2i0000
χ542-22-22222-2-2-2-2-2222-2-22-22-2222-2-2-2-22-2-2222-22-22-22-22-22-2000000002-2-222-22-22-20000000000000000000000000000000000000000−2i2i−2i2i0000000000000−2i2i−2i2i0000
χ552-22-2222-22-2-2-2-2222-2-2-22-22222-2-2-2-22-2-222-22-22-22-22-22-22000000002-2-22-22-22-2200000000000000000000000000000000000000002i−2i−2i2i00000000000002i−2i−2i2i0000
χ562-22-2222-22-2-2-2-2222-2-2-22-22222-2-2-2-22-2-222-22-22-22-22-22-22000000002-2-22-22-22-220000000000000000000000000000000000000000−2i2i2i−2i0000000000000−2i2i2i−2i0000
χ572-22-2-1222-2-21-2-2-122-212-22-2-1-1211-2-2-1112-1-112-2-11-112-22-200003−33−3-111-1-11-11-110000000000000000−i3i3−i3i300003−33−33−33−33−30000002i−2i2i−2i00−i3i3−i3i30000000−ii−ii0000
χ582-22-2-1222-2-21-2-2-122-212-22-2-1-1211-2-2-1112-1-112-2-11-112-22-200003−33−3-111-1-11-11-110000000000000000i3−i3i3−i300003−33−33−33−33−3000000−2i2i−2i2i00i3−i3i3−i30000000i−ii−i0000
χ592-22-2-1222-2-21-2-2-122-212-22-2-1-1211-2-2-1112-1-112-2-11-112-22-20000−33−33-111-1-11-11-110000000000000000−i3i3−i3i30000−33−33−33−33−33000000−2i2i−2i2i00−i3i3−i3i30000000i−ii−i0000
χ602-22-2-1222-2-21-2-2-122-212-22-2-1-1211-2-2-1112-1-112-2-11-112-22-20000−33−33-111-1-11-11-110000000000000000i3−i3i3−i30000−33−33−33−33−330000002i−2i2i−2i00i3−i3i3−i30000000−ii−ii0000
χ612-22-2-122-22-21-2-2-122-21-22-22-1-1211-2-2-1112-11-1-221-11-1-22-2200003−33−3-111-11-11-11-10000000000000000−i3i3i3−i30000−333−33−3−33−330000002i−2i−2i2i00−i3i3i3−i30000000−iii−i0000
χ622-22-2-122-22-21-2-2-122-21-22-22-1-1211-2-2-1112-11-1-221-11-1-22-2200003−33−3-111-11-11-11-10000000000000000i3−i3−i3i30000−333−33−3−33−33000000−2i2i2i−2i00i3−i3−i3i30000000i−i−ii0000
χ632-22-2-122-22-21-2-2-122-21-22-22-1-1211-2-2-1112-11-1-221-11-1-22-220000−33−33-111-11-11-11-10000000000000000−i3i3i3−i300003−3−33−333−33−3000000−2i2i2i−2i00−i3i3i3−i30000000i−i−ii0000
χ642-22-2-122-22-21-2-2-122-21-22-22-1-1211-2-2-1112-11-1-221-11-1-22-220000−33−33-111-11-11-11-10000000000000000i3−i3−i3i300003−3−33−333−33−30000002i−2i−2i2i00i3−i3−i3i30000000−iii−i0000
χ6544444-2-244-24-2-24-2-2-24-2-2-2-2-2-21-2-211-2-2-21-244-2-2-2-2-2-21111440000001111-2-211114000-2-2-2-2111100000000-2-2-2-200000000001111000000000000000000000000000
χ6644444-2-244-24-2-24-2-2-24-2-2-2-2-2-21-2-211-2-2-21-244-2-2-2-2-2-21111-4-40000001111-2-21111-40002222-1-1-1-10000000022220000000000-1-1-1-1000000000000000000000000000
χ6744444-2-2-4-4-24-2-24-2-2-242222-2-21-2-211-2-2-21-2-4-4222222-1-1-1-144000000111122-1-1-1-1-4000-2-2-2-211110000000022220000000000-1-1-1-1000000000000000000000000000
χ6844444-2-2-4-4-24-2-24-2-2-242222-2-21-2-211-2-2-21-2-4-4222222-1-1-1-1-4-4000000111122-1-1-1-140002222-1-1-1-100000000-2-2-2-200000000001111000000000000000000000000000
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χ704444-24-2444-2-2-2-24-24-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2441111-2-2-2-200-4-422221111-2-21111000-40000000022220000000022-1-1-1-1-1-1-1-10000000000000000000000000000000
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χ1258-88-8-4-4-48-84444-4-4-444-44-44222-2-2-2-22-2-222-44-442-22-22-22-200000000-111-12-2-11-1100000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4-884444-4-4-4444-44-4222-2-2-2-22-2-2224-44-4-22-22-22-2200000000-111-1-221-11-100000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).