Finite Group Databasebeta

← Group #13178236

Character table — Group #13178236

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order12223334466666666623333346666666666666666612121212121212126666666666661212121212121212121212121212121212121212121222222244446666224444466666612121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-11-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-111-1-11-11-1
χ5111111111111111111-111111-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-11-11-11111-1-111-1-1-1-1111-11-1
χ6111111111111111111-111111-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11-1-1111111-1-111-1-1-11-11
χ7111111111111111111-111111-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1-111-111-1-111-1-1111111-1-1-1-1
χ8111111111111111111-111111-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1111-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ91111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-1-111111-1-1-1-1-1-111-1-11-1-11
χ101111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1111-11-1-1-11111-1-1-1-1-1-111-111-1
χ111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-111-1111-1-1111111-1-1-1-1-1-111
χ121111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-1-1-1-1-1-11111111111-1-1
χ131111111-1-1111111111-1111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111-11-1-1111111-1-111-1-1-1-111-1-1
χ141111111-1-1111111111-1111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111
χ151111111-1-1111111111-1111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-111-1-1-111-1-1-1-111-1-111-1-1-111-1
χ161111111-1-1111111111-1111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-1111-1-11
χ17222222-1222-12222-1-1222-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-122222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000022000022020000000-1-10000-1-100-10-10
χ18222222-1222-12222-1-1222-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-122222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-20000-2-20-2000000011000011001010
χ19222222-1222-12222-1-12-22-1-1-1-1-2-2-22-1-1-1-122-1-1-1-1-1-1-1-122-1-1-2-222-21-2-211111111-2122-1-1-1-1-1-1-1-1-2-21111111100000000220000-220-20000000-1-10000-1-1001010
χ20222222-1222-12222-1-12-22-1-1-1-1-2-2-22-1-1-1-122-1-1-1-1-1-1-1-122-1-1-2-222-21-2-211111111-2122-1-1-1-1-1-1-1-1-2-21111111100000000-2-200002-20200000001100001100-10-10
χ21222222-1-2-22-12222-1-1222-1-1-1-1-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-211-2-2-2-22-122-1-1-1-1-1-1-1-1-21-2-211111111-2-211111111000000002200002-20-20000000110000-1-100-1010
χ22222222-1-2-22-12222-1-1222-1-1-1-1-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-211-2-2-2-22-122-1-1-1-1-1-1-1-1-21-2-211111111-2-21111111100000000-2-20000-22020000000-1-10000110010-10
χ23222222-1-2-22-12222-1-12-22-1-1-1-12-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-21122-2-2-21-2-2111111112-1-2-21111111122-1-1-1-1-1-1-1-100000000220000-2-2020000000110000-1-10010-10
χ24222222-1-2-22-12222-1-12-22-1-1-1-12-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-21122-2-2-21-2-2111111112-1-2-21111111122-1-1-1-1-1-1-1-100000000-2-20000220-20000000-1-100001100-1010
χ2522222-1222-1222-1-12222-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222002200-1-1-1-1000020000-1-100-1-1-1-100000000
χ2622222-1222-1222-1-12222-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200-2-20011110000-200001100111100000000
χ2722222-1222-1222-1-1222-2-12-1-1-1-211-12-1-1-1-1-122-1-1-1-1-1-1-1-1221122-2-211-2-2111111-2-2-1-122-1-1-1-1-1-111-2-211111122-2-200220011110000-20000-1-100-1-11100000000
χ2822222-1222-1222-1-1222-2-12-1-1-1-211-12-1-1-1-1-122-1-1-1-1-1-1-1-1221122-2-211-2-2111111-2-2-1-122-1-1-1-1-1-111-2-2111111-2-22200-2-200-1-1-1-1000020000110011-1-100000000
χ2922222-12-2-2-1222-1-12222-12-1-1-1-2-1-1-12-1-1-1-1-122-1-1-1-1-1-111-2-211-2-222-1-122-1-1-1-1-1-1-2-211-2-211111111-2-2111111222200-2-200-1-1-1-10000-20000-1-100111100000000
χ3022222-12-2-2-1222-1-12222-12-1-1-1-2-1-1-12-1-1-1-1-122-1-1-1-1-1-111-2-211-2-222-1-122-1-1-1-1-1-1-2-211-2-211111111-2-2111111-2-2-2-200220011110000200001100-1-1-1-100000000
χ3122222-12-2-2-1222-1-1222-2-12-1-1-1211-12-1-1-1-1-122-1-1-1-1-1-111-2-2-1-1-2-2-2-211-2-21111112211-2-2111111-1-122-1-1-1-1-1-122-2-200-2-2001111000020000-1-10011-1-100000000
χ3222222-12-2-2-1222-1-1222-2-12-1-1-1211-12-1-1-1-1-122-1-1-1-1-1-111-2-2-1-1-2-2-2-211-2-21111112211-2-2111111-1-122-1-1-1-1-1-1-2-222002200-1-1-1-10000-200001100-1-11100000000
χ332222-1222222-1-12222-12-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000022000000000020022-1-10000000000-1-10-10-1
χ342222-1222222-1-12222-12-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-20000000000-200-2-2110000000000110101
χ352222-1222222-1-12222-1-2-1-12-1-1-2-2-2-1-12-1-1-1-1-1-122-1-1-1-12222-2-2-1-11-21111-2-211111-2-1-1-1-122-1-1-1-11111-2-211110000220000000000-2002-2-1-10000000000-1-10101
χ362222-1222222-1-12222-1-2-1-12-1-1-2-2-2-1-12-1-1-1-1-1-122-1-1-1-12222-2-2-1-11-21111-2-211111-2-1-1-1-122-1-1-1-11111-2-211110000-2-20000000000200-22110000000000110-10-1
χ372222-122-2-222-1-12222-12-1-12-1-1-222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-211-12-1-1-1-122-1-1-1-11-21111-2-211111111-2-211110000220000000000-200-22-1-1000000000011010-1
χ382222-122-2-222-1-12222-12-1-12-1-1-222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-211-12-1-1-1-122-1-1-1-11-21111-2-211111111-2-211110000-2-200000000002002-2110000000000-1-10-101
χ392222-122-2-222-1-12222-1-2-1-12-1-12-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222111-21111-2-21111-121111-2-21111-1-1-1-122-1-1-1-10000220000000000200-2-2-1-10000000000110-101
χ402222-122-2-222-1-12222-1-2-1-12-1-12-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222111-21111-2-21111-121111-2-21111-1-1-1-122-1-1-1-10000-2-20000000000-20022110000000000-1-1010-1
χ4122-2-22222i−2i22-22-2-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i2i−2i002i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i00000000002-200002i−2i0000000000000002-2002i−2i0000000000
χ4222-2-22222i−2i22-22-2-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i2i−2i002i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000-220000−2i2i000000000000000-2200−2i2i0000000000
χ4322-2-2222−2i2i22-22-2-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i00−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000002-20000−2i2i0000000000000002-200−2i2i0000000000
χ4422-2-2222−2i2i22-22-2-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i00−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000-2200002i−2i000000000000000-22002i−2i0000000000
χ4522-2-22-122i−2i-12-2211-2-2-20-12-1-1-10−i3i3-12-1-1-111-2-2111111−ii2i−2i3−32i−2i00−i3i300−i3i3−i3−i3i3i300−ii2i−2i−ii−i−iii3−3003−333−3−32-200002i−2i00−i3−i3i3i3000000000-1100−ii3−300000000
χ4622-2-22-122i−2i-12-2211-2-2-20-12-1-1-10−i3i3-12-1-1-111-2-2111111−ii2i−2i3−32i−2i00−i3i300−i3i3−i3−i3i3i300−ii2i−2i−ii−i−iii3−3003−333−3−3-220000−2i2i00i3i3−i3−i30000000001-100i−i−3300000000
χ4722-2-22-122i−2i-12-2211-2-2-20-12-1-1-10i3−i3-12-1-1-111-2-2111111−ii2i−2i−332i−2i00i3−i300i3−i3i3i3−i3−i300−ii2i−2i−ii−i−iii−3300−33−3−3332-200002i−2i00i3i3−i3−i3000000000-1100−ii−3300000000
χ4822-2-22-122i−2i-12-2211-2-2-20-12-1-1-10i3−i3-12-1-1-111-2-2111111−ii2i−2i−332i−2i00i3−i300i3−i3i3i3−i3−i300−ii2i−2i−ii−i−iii−3300−33−3−333-220000−2i2i00−i3−i3i3i30000000001-100i−i3−300000000
χ4922-2-22-12−2i2i-12-2211-2-2-20-12-1-1-10−i3i3-12-1-1-111-2-2111111i−i−2i2i−33−2i2i00−i3i300−i3i3−i3−i3i3i300i−i−2i2ii−iii−i−i−3300−33−3−3332-20000−2i2i00−i3−i3i3i3000000000-1100i−i−3300000000
χ5022-2-22-12−2i2i-12-2211-2-2-20-12-1-1-10−i3i3-12-1-1-111-2-2111111i−i−2i2i−33−2i2i00−i3i300−i3i3−i3−i3i3i300i−i−2i2ii−iii−i−i−3300−33−3−333-2200002i−2i00i3i3−i3−i30000000001-100−ii3−300000000
χ5122-2-22-12−2i2i-12-2211-2-2-20-12-1-1-10i3−i3-12-1-1-111-2-2111111i−i−2i2i3−3−2i2i00i3−i300i3−i3i3i3−i3−i300i−i−2i2ii−iii−i−i3−3003−333−3−32-20000−2i2i00i3i3−i3−i3000000000-1100i−i3−300000000
χ5222-2-22-12−2i2i-12-2211-2-2-20-12-1-1-10i3−i3-12-1-1-111-2-2111111i−i−2i2i3−3−2i2i00i3−i300i3−i3i3i3−i3−i300i−i−2i2ii−iii−i−i3−3003−333−3−3-2200002i−2i00−i3−i3i3i30000000001-100−ii−3300000000
χ532-2-2222200-2-2-2-22-22-22022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000002-22-2002-22-22-200000002-2000000002-2000000
χ542-2-2222200-2-2-2-22-22-22022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000002-2-2200-222-22-20000000-2200000000-22000000
χ552-2-2222200-2-2-2-22-22-22022222000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000000000-222-200-22-22-2200000002-200000000-22000000
χ562-2-2222200-2-2-2-22-22-22022222000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000000000-22-22002-2-22-220000000-22000000002-2000000
χ5744444-2-244-2-244-2-2-2-244-2-21114-2-2-2-2111-2-2-2-2111111-2-2-2-2-2-2444-2-2-2-2-21111114-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-244-2-244-2-2-2-24-4-2-2111-422-2-2111-2-2-2-2111111-2-2-2-22244-422222-1-1-1-1-1-1-42-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-4-2-244-2-2-2-244-2-2111-4-2-2-2-2111-2-2-2-2111111222222-4-44-2-2-2-2-2111111-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-4-2-244-2-2-2-24-4-2-2111422-2-2111-2-2-2-21111112222-2-2-4-4-422222-1-1-1-1-1-14-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-2444-2-2-244-2-2-24-21-211444-21-211-2-211-2-2111144-2-244-2-2-2-2-2-211-2-21111-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-2444-2-2-244-2-2-2-4-21-211-4-4-4-21-211-2-211-2-2111144-2-2-4-4-2-22222-1-122-1-1-1-122-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-44-2-2-244-2-2-24-21-211-444-21-211-2-211-2-21111-4-422-4-422-2-2-2-211-2-211112222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-44-2-2-244-2-2-2-4-21-2114-4-4-21-211-2-211-2-21111-4-42244222222-1-122-1-1-1-1-2-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-2444-24-2-2-2-244-241-2-2114-2-21-2-21111-2-2-2-21111-2-244-2-2-2-2-2411-2-2-2-21111-2411-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-24-2-2-2-244-2-41-2-211-4221-2-21111-2-2-2-21111-2-24422-2-22-4-1-12222-1-1-1-12-411-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-4-24-2-2-2-244-241-2-211-4-2-21-2-21111-2-2-2-2111122-4-42222-2411-2-2-2-211112-4-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-24-2-2-2-244-2-41-2-2114221-2-21111-2-2-2-2111122-4-4-2-2222-4-1-12222-1-1-1-1-24-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.