Finite Group Databasebeta

← Group #13168667

Character table — Group #13168667

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212444444121212123666121212121212121224466666666121212121212121212121212121212121212441212121212121212121212121212444441212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111111111-111-1-111-1-11-1-11-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1111-11-111111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111111111-1-111-1-1-1-111-1-1-1-1-1-11111111-111-1-111-1-1-11-1-11-1-1-1-111-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1111-111-1-111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11-1-1-11111-1-1-1111-111-1-111-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-11-1-111-1-111-11-1-11-1-1-1-11111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11-11-111111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111111-1-111-1-111-1-1-1-111-1-1-1-1111111-11-1-111-1-1111-1-11-1-1-111-1-1-1-11-11
χ17222222-1222-1-122222-12-1-122-1-1-1-1-1-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-120022-1-1-1-1-1-1-1-1-1-10000222222-1-1-1-100000000-1-1-1-100002200000-1-1-1-100000
χ18222222-1222-1-122222-12-1-122-1-1-1-1-1-12-1-12222-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-2111111-1-1-1-10000-2-22222111100000000-1-1-1-10000-2-200000111100000
χ19222222-1222-1-122222-12-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-120022-1-1-1-1-1-11111000022-2-2-2-2-1-1-1-10000000011110000-2-200000111100000
χ20222222-1222-1-122222-12-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-211111111110000-2-2-2-2-2-2111100000000111100002200000-1-1-1-100000
χ21222222-1-2-22-1-122222-12-1-122-1-1-1-1-1-1211-2-2-2-2111122-2-222-1-1-1-1-1-1-1-111-2-21111-200-2-2111111-1-11100002222-2-2-1-1-1-100000000-1-11100002-200000-1-11100000
χ22222222-1-2-22-1-122222-12-1-122-1-1-1-1-1-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-2111120022-1-1-1-1-1-1-1-1110000-2-222-2-2111100000000-1-1110000-220000011-1-100000
χ23222222-1-2-22-1-122222-12-1-122-1-1-1-1-1-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-21111-200-2-211111111-1-1000022-2-222-1-1-1-10000000011-1-10000-220000011-1-100000
χ24222222-1-2-22-1-122222-12-1-122-1-1-1-1-1-1211-2-2-2-21111-2-222-2-21111-1-1-1-111-2-2111120022-1-1-1-1-1-111-1-10000-2-2-2-22211110000000011-1-100002-200000-1-11100000
χ2522222-1222-12222-12-12-12-1-1-12-1-12-12-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1222-1-122-1-1-1-100002222-1-10000-1-1-1-1000000-1-10000-1-1-1-10002200000000-1-10
χ2622222-1222-12222-12-12-12-1-1-12-1-12-12-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12-2-2-1-122-1-1-1-10000-2-2-2-2-1-10000-1-1-1-10000001100001111000-2-200000000110
χ2722222-1222-12222-12-12-12-1-1-12-1-12-12-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-22211-2-21111000022221100001111000000-1-10000-1-1-1-1000-2-200000000110
χ2822222-1222-12222-12-12-12-1-1-12-1-12-12-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-211-2-211110000-2-2-2-2110000111100000011000011110002200000000-1-10
χ2922222-12-2-2-12222-12-12-12-1-1-12-1-12-12-1-2-2-2-21111110000222222-1-1-1-1-2-2111111-22-211-2-21111000022-2-2-1-10000-1-1-1-1000000-110000-1-1110002-200000000-110
χ3022222-12-2-2-12222-12-12-12-1-1-12-1-12-12-1-2-2-2-21111110000222222-1-1-1-1-2-2111111-2-2211-2-211110000-2-222-1-10000-1-1-1-10000001-1000011-1-1000-22000000001-10
χ3122222-12-2-2-12222-12-12-12-1-1-12-1-12-12-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-211111122-2-1-122-1-1-1-1000022-2-21100001111000000-110000-1-111000-22000000001-10
χ3222222-12-2-2-12222-12-12-12-1-1-12-1-12-12-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-21111112-22-1-122-1-1-1-10000-2-22211000011110000001-1000011-1-10002-200000000-110
χ332222-12222222-1-12-122-1-12-1-1-122-12-1-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1022000000002222-1-1-1-100-1-1-1-1000022-1-1-1-122-1-1-1-1-1-1-1-100200-1-1000000000
χ342222-12222222-1-12-122-1-12-1-1-122-12-1-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000002222111100-1-1-1-10000-2-21111-2-2-1-1-1-1111100-20011000000000
χ352222-12222222-1-12-122-1-12-1-1-122-12-1-122-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-102200000000-2-2-2-2-1-1-1-10011110000-2-21111221111-1-1-1-100-20011000000000
χ362222-12222222-1-12-122-1-12-1-1-122-12-1-122-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-10-2-200000000-2-2-2-21111001111000022-1-1-1-1-2-21111111100200-1-1000000000
χ372222-122-2-2222-1-12-122-1-12-1-1-122-12-1-1-2-211-2-2-2-2-2-222-2-2000000-1-1-1-11111111102-20000000022-2-2-1-11100-1-111000022-1-1-1-12-2-1-111-1-11100-20011000000000
χ382222-122-2-2222-1-12-122-1-12-1-1-122-12-1-1-2-211-2-2-2-2-2-222-2-2000000-1-1-1-1111111110-220000000022-2-211-1-100-1-1110000-2-21111-22-1-11111-1-100200-1-1000000000
χ392222-122-2-2222-1-12-122-1-12-1-1-122-12-1-1-2-211-2-2-2-2-2-2-2-222000000-1-1-1-11111111102-200000000-2-222-1-1110011-1-10000-2-211112-211-1-1-1-11100200-1-1000000000
χ402222-122-2-2222-1-12-122-1-12-1-1-122-12-1-1-2-211-2-2-2-2-2-2-2-222000000-1-1-1-1111111110-2200000000-2-22211-1-10011-1-1000022-1-1-1-1-2211-1-111-1-100-20011000000000
χ412-22-222200-2-22-2-2-222-22222-2-22-2-2-22-2000000000000002i−2i2i2i−2i−2i22-2-20000000000000000000000000002i−2i00002i2i−2i−2i2i−2i2i2i−2i−2i0000000000000000000002-2000
χ422-22-222200-2-22-2-2-222-22222-2-22-2-2-22-2000000000000002i−2i2i2i−2i−2i22-2-20000000000000000000000000002i−2i00002i2i−2i−2i−2i2i−2i−2i2i2i000000000000000000000-22000
χ432-22-222200-2-22-2-2-222-22222-2-22-2-2-22-200000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000000000000−2i2i0000−2i−2i2i2i2i−2i2i2i−2i−2i000000000000000000000-22000
χ442-22-222200-2-22-2-2-222-22222-2-22-2-2-22-200000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000000000000−2i2i0000−2i−2i2i2i−2i2i−2i−2i2i2i0000000000000000000002-2000
χ452-2-222222-2-22-22-22-2-2-2222-2-2-2-2-222-222-22-22-222-2-22i−2i2i−2i0000002-2-222-22-222-2-2000000000002i−2i2i−2i0000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000000000
χ462-2-222222-2-22-22-22-2-2-2222-2-2-2-2-222-222-22-22-222-2-2−2i2i−2i2i0000002-2-222-22-222-2-200000000000−2i2i−2i2i000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000000000
χ472-2-22222-22-22-22-22-2-2-2222-2-2-2-2-222-22-22-22-22-2-2222i−2i−2i2i0000002-2-22-22-22-2-222000000000002i−2i−2i2i0000002i−2i−2i2i0000000000002i−2i−2i2i00000000000000000000
χ482-2-22222-22-22-22-22-2-2-2222-2-2-2-2-222-22-22-22-22-2-222−2i2i2i−2i0000002-2-22-22-22-2-22200000000000−2i2i2i−2i000000−2i2i2i−2i000000000000−2i2i2i−2i00000000000000000000
χ492-2-2222-12-2-2-112-22-2-212-1-1-2-2111-1-112-112-22-2-1-1112i−2i2i−2i00−i3i3−i3i3-111-1-112-2-1-11100000−i3i3−i3−i3i3i3−ii−ii0000002i−2i2i−2i−i3i3−i3i300000000−ii−ii000000000003−33−300000
χ502-2-2222-12-2-2-112-22-2-212-1-1-2-2111-1-112-112-22-2-1-1112i−2i2i−2i00i3−i3i3−i3-111-1-112-2-1-11100000i3−i3i3i3−i3−i3−ii−ii0000002i−2i2i−2ii3−i3i3−i300000000−ii−ii00000000000−33−3300000
χ512-2-2222-12-2-2-112-22-2-212-1-1-2-2111-1-112-112-22-2-1-111−2i2i−2i2i00−i3i3−i3i3-111-1-112-2-1-11100000−i3i3−i3−i3i3i3i−ii−i000000−2i2i−2i2i−i3i3−i3i300000000i−ii−i00000000000−33−3300000
χ522-2-2222-12-2-2-112-22-2-212-1-1-2-2111-1-112-112-22-2-1-111−2i2i−2i2i00i3−i3i3−i3-111-1-112-2-1-11100000i3−i3i3i3−i3−i3i−ii−i000000−2i2i−2i2ii3−i3i3−i300000000i−ii−i000000000003−33−300000
χ532-2-2222-1-22-2-112-22-2-212-1-1-2-2111-1-1121-1-22-2211-1-12i−2i−2i2i00−i3i3−i3i3-111-11-1-2211-1-100000i3−i3i3i3−i3−i3−iii−i0000002i−2i−2i2i−i3i3−i3i300000000−iii−i000000000003−3−3300000
χ542-2-2222-1-22-2-112-22-2-212-1-1-2-2111-1-1121-1-22-2211-1-12i−2i−2i2i00i3−i3i3−i3-111-11-1-2211-1-100000−i3i3−i3−i3i3i3−iii−i0000002i−2i−2i2ii3−i3i3−i300000000−iii−i00000000000−333−300000
χ552-2-2222-1-22-2-112-22-2-212-1-1-2-2111-1-1121-1-22-2211-1-1−2i2i2i−2i00−i3i3−i3i3-111-11-1-2211-1-100000i3−i3i3i3−i3−i3i−i−ii000000−2i2i2i−2i−i3i3−i3i300000000i−i−ii00000000000−333−300000
χ562-2-2222-1-22-2-112-22-2-212-1-1-2-2111-1-1121-1-22-2211-1-1−2i2i2i−2i00i3−i3i3−i3-111-11-1-2211-1-100000−i3i3−i3−i3i3i3i−i−ii000000−2i2i2i−2ii3−i3i3−i300000000i−i−ii000000000003−3−3300000
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χ602-2-22-1222-2-22-2-1121-2-2-1-12111-2-2-121-12-2-112-222-2-2−2i2i−2i2i000000-111-1-11-11-1-11100000000000−2i2i−2i2ii3−i3i3−i300i−ii−i0000003−33−300i−ii−ii3−i3i3−i3000003−3000000000
χ612-2-22-122-22-22-2-1121-2-2-1-12111-2-2-121-1-221-1-22-2-2222i−2i−2i2i000000-111-11-11-111-1-1000000000002i−2i−2i2i−i3i3i3−i300−iii−i0000003−33−300−iii−i−i3i3i3−i300000−33000000000
χ622-2-22-122-22-22-2-1121-2-2-1-12111-2-2-121-1-221-1-22-2-2222i−2i−2i2i000000-111-11-11-111-1-1000000000002i−2i−2i2ii3−i3−i3i300−iii−i000000−33−3300−iii−ii3−i3−i3i3000003−3000000000
χ632-2-22-122-22-22-2-1121-2-2-1-12111-2-2-121-1-221-1-22-2-222−2i2i2i−2i000000-111-11-11-111-1-100000000000−2i2i2i−2i−i3i3i3−i300i−i−ii000000−33−3300i−i−ii−i3i3i3−i3000003−3000000000
χ642-2-22-122-22-22-2-1121-2-2-1-12111-2-2-121-1-221-1-22-2-222−2i2i2i−2i000000-111-11-11-111-1-100000000000−2i2i2i−2ii3−i3−i3i300i−i−ii0000003−33−300i−i−iii3−i3−i3i300000−33000000000
χ6544444-2-244-2-2-244-24-2-2-2-21-2-2-211-21-2-2-2-244-2-21111000044-2-2-2-21111-2-2-2-21111400-2-2-2-2111100000000-2-20000111100000000000000000000000000000000
χ6644444-2-244-2-2-244-24-2-2-2-21-2-2-211-21-2-2-2-244-2-211110000-4-422221111-2-2-2-21111-4002222-1-1-1-100000000220000-1-1-1-100000000000000000000000000000000
χ6744444-2-2-4-4-2-2-244-24-2-2-2-21-2-2-211-21-2-222-4-422-1-1-1-1000044-2-2-2-211112222-1-1-1-1-4002222-1-1-1-100000000-2-20000111100000000000000000000000000000000
χ6844444-2-2-4-4-2-2-244-24-2-2-2-21-2-2-211-21-2-222-4-422-1-1-1-10000-4-4222211112222-1-1-1-1400-2-2-2-2111100000000220000-1-1-1-100000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).