Finite Group Databasebeta

← Group #13168385

Character table — Group #13168385

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121244444412121212366612121212121212121224466121212121212121212121212121212121212121244446661212121212121212124444121212121212221212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1-1-111111111111111111111-1-111-1-1-1-1-11-1-11111-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-11-111-1-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-11111111111111111111111-111111-1-1-1-111-1-11111111111-1-1-1-111111-111-1-1-1-11-1-11-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-111-11111-1-11-11-1-1-111-1-11111-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1111-1-1-1-1-111-1-111-1-111-1-111111-1-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1111-1-1-1-111-1-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1111-1-1-1-11111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-111111-1-11111-1-111-1-111-1-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-11-1-1-1-1111-11-1-1-111-1-1-1-111-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-111111-1-111-1-11-1
χ17222222-122-12-12-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-120222-1-10000-1-10022-1-1-1-1-1-1-1-10000-1-1-1-120-1-10000200200000000-10-10
χ18222222-122-12-12-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-1-20-2-2-2-1-10000-1-10022-1-1-1-1-1-1-1-100001111-20110000-200-2000000001010
χ19222222-122-12-12-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1202221100001100-2-2111111110000-1-1-1-120-1-10000-200-2000000001010
χ20222222-122-12-12-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20-2-2-21100001100-2-21111111100001111-20110000200200000000-10-10
χ21222222-122-12-12-1222-1-1-222-1-1-1-1-1-12-2-21111110022-2-2-2-2-2-2-1-1-1-1-211-2-2111120-222-1-10000110022-1-1-1-111110000-1-1-11-20110000-20020000000010-10
χ22222222-122-12-12-1222-1-1-222-1-1-1-1-1-12-2-21111110022-2-2-2-2-2-2-1-1-1-1-211-2-21111-202-2-2-1-10000110022-1-1-1-111110000111-120-1-10000200-200000000-1010
χ23222222-122-12-12-1222-1-1-222-1-1-1-1-1-12-2-211111100-2-2222222-1-1-1-1-211-2-2111120-222110000-1-100-2-21111-1-1-1-10000-1-1-11-20110000200-200000000-1010
χ24222222-122-12-12-1222-1-1-222-1-1-1-1-1-12-2-211111100-2-2222222-1-1-1-1-211-2-21111-202-2-2110000-1-100-2-21111-1-1-1-10000111-120-1-10000-20020000000010-10
χ2522222-12-12222-12-12-12-12-1-1-12-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100222200-1-1000000000022002-1-12-1-1-1-1-1-1-1-10020-1-10000000-100
χ2622222-12-12222-12-12-12-12-1-1-12-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-21100222200-1-10000000000-2-200-211-21-111-1-1-1-100-20110000000100
χ2722222-12-12222-12-12-12-12-1-1-12-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-1-100-2-2-2-200110000000000-2-2002-1-12-11-1-1111100-20110000000100
χ2822222-12-12222-12-12-12-12-1-1-12-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21100-2-2-2-2001100000000002200-211-2111111110020-1-10000000-100
χ2922222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-11111111112-2-2-1-10022-2-200-1-1000000000022002-1-1-21111-1-11100-20-1-10000000100
χ3022222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-2-22110022-2-200-1-10000000000-2-200-2112-11-1-1-1-1110020110000000-100
χ3122222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111122-2-1-100-2-22200110000000000-2-2002-1-1-21-11111-1-10020110000000-100
χ3222222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111-2221100-2-222001100000000002200-2112-1-1-1-111-1-100-20-1-10000000100
χ332222-1222-12-12222-1-1-122-1-12-12-1-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10200022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002200000200-1-1-1-1020000-1-1-1-1000000
χ342222-1222-12-12222-1-1-122-1-12-12-1-12-1-1-122-1-1-1-122-2-2-2-21111-1-1-1-1222-1-1-1-1-1-102000-2-2-1-1-1-1-2-222111111111100-2-200000200-1-1-1-10-200001111000000
χ352222-1222-12-12222-1-1-122-1-12-12-1-12-1-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10-200022111122-2-2-1-1-1-1-1-1-1-1-1-100-2-200000-20011110-200001111000000
χ362222-1222-12-12222-1-1-122-1-12-12-1-12-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-2000-2-21111-2-2-2-21111111111002200000-2001111020000-1-1-1-1000000
χ372222-1222-12-12222-1-1-12-2-1-12-12-1-12-111-2-211112222-2-21111-1-1-1-1-2-2-21111110-200022-1-111-2-222-1-1-1-1-1-11111002200000-200-1-1110-20000-1-111000000
χ382222-1222-12-12222-1-1-12-2-1-12-12-1-12-111-2-2111122-2-222-1-1-1-1-1-1-1-1-2-2-21111110-2000-2-2-1-1112222111111-1-1-1-100-2-200000-200-1-11102000011-1-1000000
χ392222-1222-12-12222-1-1-12-2-1-12-12-1-12-111-2-21111-2-222-2-21111-1-1-1-1-2-2-2111111020002211-1-1-2-2-2-2-1-1-1-1-1-1111100-2-20000020011-1-102000011-1-1000000
χ402222-1222-12-12222-1-1-12-2-1-12-12-1-12-111-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-2-2-211111102000-2-211-1-122-2-2111111-1-1-1-100220000020011-1-10-20000-1-111000000
χ4122-2-2222-2-2-222-2-22-22220-2-2-222-2-2-22000000002-22i−2i0000002-2-22000000000000002i−2i2-200002-22i−2i2i2i−2i−2i0000002i−2i000000002-2000000002i−2i00000000
χ4222-2-2222-2-2-222-2-22-22220-2-2-222-2-2-22000000002-2−2i2i0000002-2-2200000000000000−2i2i2-200002-2−2i2i−2i−2i2i2i000000−2i2i000000002-200000000−2i2i00000000
χ4322-2-2222-2-2-222-2-22-22220-2-2-222-2-2-2200000000-222i−2i0000002-2-22000000000000002i−2i-220000-222i−2i2i2i−2i−2i000000−2i2i00000000-2200000000−2i2i00000000
χ4422-2-2222-2-2-222-2-22-22220-2-2-222-2-2-2200000000-22−2i2i0000002-2-2200000000000000−2i2i-220000-22−2i2i−2i−2i2i2i0000002i−2i00000000-22000000002i−2i00000000
χ4522-2-2-122-21-2-12-2-221-1-12011-2-1211-2-1−i3i300−i3−i3i3i32-22i−2i0033−3−3-111-1000−i3i3−i3−i3i3i3000002i−2i-11−i3i3002-2−ii−i−iii33−3−3002i−2i00000000-11−i3i3000000−ii3−3000000
χ4622-2-2-122-21-2-12-2-221-1-12011-2-1211-2-1−i3i300−i3−i3i3i32-2−2i2i00−3−333-111-1000−i3i3−i3−i3i3i300000−2i2i-11−i3i3002-2i−iii−i−i−3−33300−2i2i00000000-11−i3i3000000i−i−33000000
χ4722-2-2-122-21-2-12-2-221-1-12011-2-1211-2-1−i3i300−i3−i3i3i3-222i−2i0033−3−3-111-1000−i3i3−i3−i3i3i3000002i−2i1-1i3−i300-22−ii−i−iii33−3−300−2i2i000000001-1i3−i3000000i−i−33000000
χ4822-2-2-122-21-2-12-2-221-1-12011-2-1211-2-1−i3i300−i3−i3i3i3-22−2i2i00−3−333-111-1000−i3i3−i3−i3i3i300000−2i2i1-1i3−i300-22i−iii−i−i−3−333002i−2i000000001-1i3−i3000000−ii3−3000000
χ4922-2-2-122-21-2-12-2-221-1-12011-2-1211-2-1i3−i300i3i3−i3−i32-22i−2i00−3−333-111-1000i3−i3i3i3−i3−i3000002i−2i-11i3−i3002-2−ii−i−iii−3−333002i−2i00000000-11i3−i3000000−ii−33000000
χ5022-2-2-122-21-2-12-2-221-1-12011-2-1211-2-1i3−i300i3i3−i3−i32-2−2i2i0033−3−3-111-1000i3−i3i3i3−i3−i300000−2i2i-11i3−i3002-2i−iii−i−i33−3−300−2i2i00000000-11i3−i3000000i−i3−3000000
χ5122-2-2-122-21-2-12-2-221-1-12011-2-1211-2-1i3−i300i3i3−i3−i3-222i−2i00−3−333-111-1000i3−i3i3i3−i3−i3000002i−2i1-1−i3i300-22−ii−i−iii−3−33300−2i2i000000001-1−i3i3000000i−i3−3000000
χ5222-2-2-122-21-2-12-2-221-1-12011-2-1211-2-1i3−i300i3i3−i3−i3-22−2i2i0033−3−3-111-1000i3−i3i3i3−i3−i300000−2i2i1-1−i3i300-22i−iii−i−i33−3−3002i−2i000000001-1−i3i3000000−ii−33000000
χ532-22-2222-2-22-2-22-2-2222202-2-2-2-22-22-20000000000002i−2i2i−2i2i−2i22-2-2000000000000000000002i−2i000000002i−2i2i−2i2i−2i0000000000000000002i−2i00002-20000
χ542-22-2222-2-22-2-22-2-2222202-2-2-2-22-22-20000000000002i−2i2i−2i2i−2i22-2-2000000000000000000002i−2i000000002i−2i2i−2i−2i2i000000000000000000−2i2i0000-220000
χ552-22-2222-2-22-2-22-2-2222202-2-2-2-22-22-2000000000000−2i2i−2i2i−2i2i22-2-200000000000000000000−2i2i00000000−2i2i−2i2i2i−2i0000000000000000002i−2i0000-220000
χ562-22-2222-2-22-2-22-2-2222202-2-2-2-22-22-2000000000000−2i2i−2i2i−2i2i22-2-200000000000000000000−2i2i00000000−2i2i−2i2i−2i2i000000000000000000−2i2i00002-20000
χ5744444-2-2-24-24-2-2-2-24-2-214-2-21-21-2-21-244-2-2-2-2-2-200000000001111-211-2-21111404-2-2000000000000000000000000-211-2-201100000000000000000000
χ5844444-2-2-24-24-2-2-2-24-2-214-2-21-21-2-21-244-2-2-2-2-2-200000000001111-211-2-21111-40-4220000000000000000000000002-1-1220-1-100000000000000000000
χ5944444-2-2-24-24-2-2-2-24-2-21-4-2-21-21-2-21-2-4-4222222000000000011112-1-122-1-1-1-140-4-2-2000000000000000000000000-211220-1-100000000000000000000
χ6044444-2-2-24-24-2-2-2-24-2-21-4-2-21-21-2-21-2-4-4222222000000000011112-1-122-1-1-1-1-404220000000000000000000000002-1-1-2-201100000000000000000000
χ614444-24-24-2-2-2-24-24-2-21-24-2-2-21-211-2-2-2-2-2-21111004444-2-2-2-211114-2-2-2-2111100000-2-20000-2-200-2-21111111100000000000000000000000000000000
χ624444-24-24-2-2-2-24-24-2-21-24-2-2-21-211-2-2-2-2-2-2111100-4-4-4-4222211114-2-2-2-2111100000220000220022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ634444-24-24-2-2-2-24-24-2-21-2-4-2-2-21-211-2-22222-1-1-1-10044-4-422221111-42222-1-1-1-100000-2-200002200-2-21111-1-1-1-100000000000000000000000000000000
χ644444-24-24-2-2-2-24-24-2-21-2-4-2-2-21-211-2-22222-1-1-1-100-4-444-2-2-2-21111-42222-1-1-1-100000220000-2-20022-1-1-1-1111100000000000000000000000000000000
χ654444-2-24-2-24-24-24-2-21-2-2411-2-2-2-2-2-21-2-244-2-2-2-244000000001111-2-2-21111110400000-2-2-2-200-2-20000000000000000000-20011110000000000000000
χ664444-2-24-2-24-24-24-2-21-2-2411-2-2-2-2-2-21-2-244-2-2-2-2-4-4000000001111-2-2-21111110-400000222200220000000000000000000200-1-1-1-10000000000000000
χ674444-2-24-2-24-24-24-2-21-2-2-411-2-2-2-2-2-2122-4-4222244000000001111222-1-1-1-1-1-10-400000-2-22200-2-2000000000000000000020011-1-10000000000000000
χ684444-2-24-2-24-24-24-2-21-2-2-411-2-2-2-2-2-2122-4-42222-4-4000000001111222-1-1-1-1-1-1040000022-2-200220000000000000000000-200-1-1110000000000000000
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χ7044-4-444-2-4-424-2-424-44-2-20-4-42-2-222240000000000−4i4i000000-222-2000000000000002i−2i00000000−4i4i2i2i−2i−2i000000000000000000000000000000000000
χ7144-4-44-242-4-4442-4-2-4-24-202224-2-4-42-2000000004-400000000-222-200000000000000004-40000-220000000000000000000000-22000000000000000000
χ7244-4-44-242-4-4442-4-2-4-24-202224-2-4-42-200000000-4400000000-222-20000000000000000-4400002-200000000000000000000002-2000000000000000000
χ7344-4-4-24-2-422-2-2-4242-21-202221-2-1-12-2−2i32i300i3i3−i3−i3004i−4i002323−23−231-1-11000−2i32i3i3i3−i3−i300000−2i2i00000000−2i2iii−i−i−3−33300000000000000000000000000000000
χ7444-4-4-24-2-422-2-2-4242-21-202221-2-1-12-2−2i32i300i3i3−i3−i300−4i4i00−23−2323231-1-11000−2i32i3i3i3−i3−i3000002i−2i000000002i−2i−i−iii33−3−300000000000000000000000000000000
χ7544-4-4-24-2-422-2-2-4242-21-202221-2-1-12-22i3−2i300−i3−i3i3i3004i−4i00−23−2323231-1-110002i3−2i3−i3−i3i3i300000−2i2i00000000−2i2iii−i−i33−3−300000000000000000000000000000000
χ7644-4-4-24-2-422-2-2-4242-21-202221-2-1-12-22i3−2i300−i3−i3i3i300−4i4i002323−23−231-1-110002i3−2i3−i3−i3i3i3000002i−2i000000002i−2i−i−iii−3−33300000000000000000000000000000000
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χ934-4-4444-2442-42-4-2-4-44-2-20-44-2222-22-400−2323−232323−230000000000-22-220−232300−232323−23000000000000000000000000000000000000000000000000000000000
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χ1024-4-44-24-24-2222-4-2-42-21-202-2-2-12-11220023−23−333−3000000−2i32i32i3−2i31-11-1023−2300−333−3000000000000000003i−3i−3i3ii3−i3−i3i300000000000000000000000000000000
χ1034-4-44-24-24-2222-4-2-42-21-202-2-2-12-11220023−23−333−30000002i3−2i3−2i32i31-11-1023−2300−333−300000000000000000−3i3i3i−3i−i3i3i3−i300000000000000000000000000000000
χ1044-4-44-24-24-2222-4-2-42-21-202-2-2-12-112200−23233−3−33000000−2i32i32i3−2i31-11-10−2323003−3−3300000000000000000−3i3i3i−3ii3−i3−i3i300000000000000000000000000000000
χ1054-4-44-24-24-2222-4-2-42-21-202-2-2-12-112200−23233−3−330000002i3−2i3−2i32i31-11-10−2323003−3−33000000000000000003i−3i−3i3i−i3i3i3−i300000000000000000000000000000000
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χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-88-4-44-848-444-4-8-4-42044-2-4244-2-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4444-4-444-442220-2-2-222-2-2-22−4i34i3002i32i3−2i3−2i30000000000-111-10002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
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χ1118-88-88-4-44-8-4-84-4448-4-420-44-24-2-442400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-4-4-44444-4442220-222-2-2-22-2-200−434323−23−23230000000000-11-11023−2300−333−3000000000000000000000000000000000000000000000000000000000

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