Finite Group Databasebeta

← Group #13168102

Character table — Group #13168102

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212222244121212123666121212121212121222466666666666612121212121212121212121212122266666666666666444441212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111111-111-1-111-1-11-1-11-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-11-111111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-11111-1-1-1-111111111111-111-1-111-1-1-11-1-11-1-1-1-111-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1111-111-1-111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1111-111-1-111-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-11-1-111-1-111-11-1-11-1-1-1-11111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-11-11-111111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111111111-11-1-111-1-1111-1-11-1-1-111-1-1-1-11-11
χ17222222-122-1-12222-1222-1-1-1-1-1-12-1-12222-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-12202222-1-1-1-1-1-1-1-10000000000000022-1-1-1-122-1-1-1-1-1-1-1-100200-1-1000000000
χ18222222-122-1-12222-1222-1-1-1-1-1-12-1-12222-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-202222-1-1-1-1111100000000000000-2-21111-2-2-1-1-1-1111100-20011000000000
χ19222222-122-1-12222-1222-1-1-1-1-1-12-1-12222-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1220-2-2-2-21111-1-1-1-100000000000000-2-21111221111-1-1-1-100-20011000000000
χ20222222-122-1-12222-1222-1-1-1-1-1-12-1-12222-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2111111110000000000000022-1-1-1-1-2-21111111100200-1-1000000000
χ21222222-1-2-2-1-12222-1222-1-1-1-1-1-12-1-122-2-211-2-2-2-2-2-222-2-2000000-1-1-1-1111111112-2022-2-2-1-111-1-1110000000000000022-1-1-1-12-2-1-111-1-11100-20011000000000
χ22222222-1-2-2-1-12222-1222-1-1-1-1-1-12-1-122-2-211-2-2-2-2-2-222-2-2000000-1-1-1-111111111-22022-2-2-1-11111-1-100000000000000-2-21111-22-1-11111-1-100200-1-1000000000
χ23222222-1-2-2-1-12222-1222-1-1-1-1-1-12-1-122-2-211-2-2-2-2-2-2-2-222000000-1-1-1-1111111112-20-2-22211-1-1-1-11100000000000000-2-211112-211-1-1-1-11100200-1-1000000000
χ24222222-1-2-2-1-12222-1222-1-1-1-1-1-12-1-122-2-211-2-2-2-2-2-2-2-222000000-1-1-1-111111111-220-2-22211-1-111-1-10000000000000022-1-1-1-1-2211-1-111-1-100-20011000000000
χ2522222-12222222-1-12-12-12-122-1-1-12-1-1-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1222000000002222-1-122-1-1-1-1-1-1-1-1-1-1000000-1-10000-1-1-1-10002200000000-1-10
χ2622222-12222222-1-12-12-12-122-1-1-12-1-1-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1-2-2200000000-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-10000001100001111000-2-200000000110
χ2722222-12222222-1-12-12-12-122-1-1-12-1-1-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-200000000222211-2-21111111111000000-1-10000-1-1-1-1000-2-200000000110
χ2822222-12222222-1-12-12-12-122-1-1-12-1-1-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-200000000-2-2-2-211-2-2111111111100000011000011110002200000000-1-10
χ2922222-12-2-22222-1-12-12-12-122-1-1-12-1-1-1-2-2-2-21111110000222222-1-1-1-1-2-21111112-2-20000000022-2-2-1-1-2-211-1-1-1-11111000000-110000-1-1110002-200000000-110
χ3022222-12-2-22222-1-12-12-12-122-1-1-12-1-1-1-2-2-2-21111110000222222-1-1-1-1-2-2111111-22-200000000-2-222-1-1-2-211-1-1-1-111110000001-1000011-1-1000-22000000001-10
χ3122222-12-2-22222-1-12-12-12-122-1-1-12-1-1-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-21111112-220000000022-2-21122-1-11111-1-1-1-1000000-110000-1-111000-22000000001-10
χ3222222-12-2-22222-1-12-12-12-122-1-1-12-1-1-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-2111111-22200000000-2-2221122-1-11111-1-1-1-10000001-1000011-1-10002-200000000-110
χ332222-1222222-1-12222-1-1-12-1-122-1-12-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1002-1-1-1-12222000022-1-122-1-1-1-1-1-1-1-100000000-1-1-1-100002200000-1-1-1-100000
χ342222-1222222-1-12222-1-1-12-1-122-1-12-1-1-1-12222-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-100-2-1-1-1-122220000-2-211-2-21111111100000000-1-1-1-10000-2-200000111100000
χ352222-1222222-1-12222-1-1-12-1-122-1-12-1-1-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-10021111-2-2-2-2000022-1-122-1-1-1-1-1-1-1-10000000011110000-2-200000111100000
χ362222-1222222-1-12222-1-1-12-1-122-1-12-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-100-21111-2-2-2-20000-2-211-2-21111111100000000111100002200000-1-1-1-100000
χ372222-122-2-222-1-12222-1-1-12-1-122-1-12-1-111-2-2-2-2111122-2-222-1-1-1-1-1-1-1-111-2-2111100-2-1-11122-2-200002211-2-2-1-1-1-1111100000000-1-11100002-200000-1-11100000
χ382222-122-2-222-1-12222-1-1-12-1-122-1-12-1-111-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-21111002-1-11122-2-20000-2-2-1-1221111-1-1-1-100000000-1-1110000-220000011-1-100000
χ392222-122-2-222-1-12222-1-1-12-1-122-1-12-1-111-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-2111100-211-1-1-2-22200002211-2-2-1-1-1-111110000000011-1-10000-220000011-1-100000
χ402222-122-2-222-1-12222-1-1-12-1-122-1-12-1-111-2-2-2-21111-2-222-2-21111-1-1-1-111-2-2111100211-1-1-2-2220000-2-2-1-1221111-1-1-1-10000000011-1-100002-200000-1-11100000
χ4122-2-2222002-2-222-2-2-2-22222-22-2-2-2-22-2000000000000002i−2i2i2i−2i−2i22-2-2000000000000000000000002i−2i00002i2i−2i−2i00002-222-2-20000000000000000000002i−2i000
χ4222-2-2222002-2-222-2-2-2-22222-22-2-2-2-22-2000000000000002i−2i2i2i−2i−2i22-2-2000000000000000000000002i−2i00002i2i−2i−2i0000-22-2-222000000000000000000000−2i2i000
χ4322-2-2222002-2-222-2-2-2-22222-22-2-2-2-22-200000000000000−2i2i−2i−2i2i2i22-2-200000000000000000000000−2i2i0000−2i−2i2i2i00002-222-2-2000000000000000000000−2i2i000
χ4422-2-2222002-2-222-2-2-2-22222-22-2-2-2-22-200000000000000−2i2i−2i−2i2i2i22-2-200000000000000000000000−2i2i0000−2i−2i2i2i0000-22-2-2220000000000000000000002i−2i000
χ452-2-222222-2-2-22-2-2-222-2222-2-2-2-2222-2-22-22-22-222-2-22-22-20000002-2-222-22-222-2-20002-22-22-22-2000000000000000000000000002-22-200000000000000000000
χ462-2-222222-2-2-22-2-2-222-2222-2-2-2-2222-2-22-22-22-222-2-2-22-220000002-2-222-22-222-2-2000-22-22-22-2200000000000000000000000000-22-2200000000000000000000
χ472-2-22222-22-2-22-2-2-222-2222-2-2-2-2222-2-2-22-22-22-2-2222-2-220000002-2-22-22-22-2-2220002-2-222-2-22000000000000000000000000002-2-2200000000000000000000
χ482-2-22222-22-2-22-2-2-222-2222-2-2-2-2222-2-2-22-22-22-2-222-222-20000002-2-22-22-22-2-222000-222-2-222-200000000000000000000000000-222-200000000000000000000
χ492-2-2222-12-2112-2-2-2-12-22-1-111112-1-1-2-22-2-112-222-2-22-22-2000000-111-1-11-11-1-1110002-22-2-11-11−i3i3−i3i30000000000000000−i3i3−i3i300-11-11−i3i3−i3i300000−i3i3000000000
χ502-2-2222-12-2112-2-2-2-12-22-1-111112-1-1-2-22-2-112-222-2-22-22-2000000-111-1-11-11-1-1110002-22-2-11-11i3−i3i3−i30000000000000000i3−i3i3−i300-11-11i3−i3i3−i300000i3−i3000000000
χ512-2-2222-12-2112-2-2-2-12-22-1-111112-1-1-2-22-2-112-222-2-2-22-22000000-111-1-11-11-1-111000-22-221-11-1−i3i3−i3i30000000000000000i3−i3i3−i3001-11-1−i3i3−i3i300000i3−i3000000000
χ522-2-2222-12-2112-2-2-2-12-22-1-111112-1-1-2-22-2-112-222-2-2-22-22000000-111-1-11-11-1-111000-22-221-11-1i3−i3i3−i30000000000000000−i3i3−i3i3001-11-1i3−i3i3−i300000−i3i3000000000
χ532-2-2222-1-22112-2-2-2-12-22-1-111112-1-1-2-2-221-1-22-2-2222-2-22000000-111-11-11-111-1-10002-2-22-111-1−i3i3i3−i30000000000000000−i3i3−i3i300-111-1−i3i3i3−i300000i3−i3000000000
χ542-2-2222-1-22112-2-2-2-12-22-1-111112-1-1-2-2-221-1-22-2-2222-2-22000000-111-11-11-111-1-10002-2-22-111-1i3−i3−i3i30000000000000000i3−i3i3−i300-111-1i3−i3−i3i300000−i3i3000000000
χ552-2-2222-1-22112-2-2-2-12-22-1-111112-1-1-2-2-221-1-22-2-222-222-2000000-111-11-11-111-1-1000-222-21-1-11−i3i3i3−i30000000000000000i3−i3i3−i3001-1-11−i3i3i3−i300000−i3i3000000000
χ562-2-2222-1-22112-2-2-2-12-22-1-111112-1-1-2-2-221-1-22-2-222-222-2000000-111-11-11-111-1-1000-222-21-1-11i3−i3−i3i30000000000000000−i3i3−i3i3001-1-11i3−i3−i3i300000i3−i3000000000
χ572-2-22-1222-2-2-2-11-2-2221-1-1211-2-2-1-1211-112-22-2-1-1112-22-2003−33−3-111-1-112-2-1-111000-11-112-22-20000003−3003−33−333−3−300000000-11-11000000000003−33−300000
χ582-2-22-1222-2-2-2-11-2-2221-1-1211-2-2-1-1211-112-22-2-1-1112-22-200−33−33-111-1-112-2-1-111000-11-112-22-2000000−3300−33−33−3−33300000000-11-1100000000000−33−3300000
χ592-2-22-1222-2-2-2-11-2-2221-1-1211-2-2-1-1211-112-22-2-1-111-22-22003−33−3-111-1-112-2-1-1110001-11-1-22-220000003−3003−33−333−3−3000000001-11-100000000000−33−3300000
χ602-2-22-1222-2-2-2-11-2-2221-1-1211-2-2-1-1211-112-22-2-1-111-22-2200−33−33-111-1-112-2-1-1110001-11-1-22-22000000−3300−33−33−3−333000000001-11-1000000000003−33−300000
χ612-2-22-122-22-2-2-11-2-2221-1-1211-2-2-1-12111-1-22-2211-1-12-2-22003−33−3-111-11-1-2211-1-1000-111-12-2-22000000−33003−33−3−3−33300000000-111-1000000000003−3−3300000
χ622-2-22-122-22-2-2-11-2-2221-1-1211-2-2-1-12111-1-22-2211-1-12-2-2200−33−33-111-11-1-2211-1-1000-111-12-2-220000003−300−33−3333−3−300000000-111-100000000000−333−300000
χ632-2-22-122-22-2-2-11-2-2221-1-1211-2-2-1-12111-1-22-2211-1-1-222-2003−33−3-111-11-1-2211-1-10001-1-11-222-2000000−33003−33−3−3−333000000001-1-1100000000000−333−300000
χ642-2-22-122-22-2-2-11-2-2221-1-1211-2-2-1-12111-1-22-2211-1-1-222-200−33−33-111-11-1-2211-1-10001-1-11-222-20000003−300−33−3333−3−3000000001-1-11000000000003−3−3300000
χ6544444-2-244-2-244-2-2-2-24-2-21-2-211-2-21-2-244-2-2-2-2-2-2-2-200000000001111-2-211111144000000000-2-2-2-200000000000000000000-2-2000011110000000000000000
χ6644444-2-244-2-244-2-2-2-24-2-21-2-211-2-21-2-244-2-2-2-2-2-2-2-200000000001111-2-2111111-4-4000000000222200000000000000000000220000-1-1-1-10000000000000000
χ6744444-2-2-4-4-2-244-2-2-2-24-2-21-2-211-2-21-2-2-4-4222222220000000000111122-1-1-1-1-1-14-4000000000-2-22200000000000000000000-22000011-1-10000000000000000
χ6844444-2-2-4-4-2-244-2-2-2-24-2-21-2-211-2-21-2-2-4-4222222220000000000111122-1-1-1-1-1-1-4400000000022-2-2000000000000000000002-20000-1-1110000000000000000
χ694444-24-244-2-2-2-244-24-2-21-211-2-2-21-2-2-2-2-2-2-244-2-2-2-24444000000111111-2-21111000-2-2-2-2-2-2-2-200000000000000000000000000111100000000000000000000
χ704444-24-244-2-2-2-244-24-2-21-211-2-2-21-2-2-2-2-2-2-244-2-2-2-2-4-4-4-4000000111111-2-211110002222222200000000000000000000000000-1-1-1-100000000000000000000
χ714444-24-2-4-4-2-2-2-244-24-2-21-211-2-2-21-2-2-22222-4-4222244-4-40000001111-1-122-1-1-1-1000-2-222-2-2220000000000000000000000000011-1-100000000000000000000
χ724444-24-2-4-4-2-2-2-244-24-2-21-211-2-2-21-2-2-22222-4-42222-4-4440000001111-1-122-1-1-1-100022-2-222-2-200000000000000000000000000-1-11100000000000000000000
χ734444-2-244444-2-2-2-24-2-21-2-2-2-2-2-21-2-211-2-244-2-21111000044-2-2-2-21111-2-2-2-21111004000000000000-2-2-2-2-2-21111111100000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).