Finite Group Databasebeta

← Group #13172226

Character table — Group #13172226

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order1222333666666666233366666666666666666444444441212121212121212366666666666624661212121212121212121212121212121212121212121244446661212121212121224446612121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-11111-1-1-1-111-1-1111111111111-1-111111-111-1-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-11-1-1-111-1-1-1-111-1-1-111
χ51111111111111111111111111111111111111-1-1111111111111111111111111111-11-1-1-1-111111111-1-1111111111111-1-1-1-1-11-1-111111-1-1-111-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111111111-1-11111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-11-1-1-111-1-1-1-111-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-1-111-1-111-11-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1111-1-111-11-1-1-1-1-1-1-1-111111-11
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-111111-11111-1-1-1-1-1-111-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-11-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111-11111-1-1-1-1-1-11-11
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-11-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-11-1-1-1-1-1-1-1-1111111-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111-1-1111-1-111-1-111-1-11
χ17222222-122-122-1-1222-1-1222-1-1-1-1-1-1-1-1-122-1-12-100222222-1-1-1-12222-12-1-122-1-1-1-1-1-1-102000022-1-1-1-1-1-10022-1-1-1-1-1-1-1-12200000200-1-1-1-12000-1-10000-1-100000
χ18222222-122-122-1-1222-1-1222-1-1-1-1-1-1-1-1-122-1-12-1002222-2-2-1-1-1-12222-12-1-122-1-1-1-1-1-1-10-20000-2-211-1-1110022-1-1-1-1-1-1-1-1-2-200000-2001111-20001100001100000
χ19222222-122-122-1-1222-1-1222-1-1-1-1-1-1-1-1-122-1-12-100-2-2-2-2221111-2-2-2-2-12-1-122-1-1-1-1-1-1-102000022-1-111-1-100-2-211111111-2-200000200-1-1-1-1-20001100001100000
χ20222222-122-122-1-1222-1-1222-1-1-1-1-1-1-1-1-122-1-12-100-2-2-2-2-2-21111-2-2-2-2-12-1-122-1-1-1-1-1-1-10-20000-2-211111100-2-2111111112200000-20011112000-1-10000-1-100000
χ21222222-122-122-1-122-2-1-12-2-211-1-1-1111122-1-12-10022-2-222-1-1-1-1-2-2-2-2-1-211-2-2-1-1-111110-20000221111-1-10022-1-1-1-11111-2-200000-200-1-1112000-1-100001100000
χ22222222-122-122-1-122-2-1-12-2-211-1-1-1111122-1-12-10022-2-2-2-2-1-1-1-1-2-2-2-2-1-211-2-2-1-1-11111020000-2-2-1-111110022-1-1-1-11111220000020011-1-1-2000110000-1-100000
χ23222222-122-122-1-122-2-1-12-2-211-1-1-1111122-1-12-100-2-2222211112222-1-211-2-2-1-1-111110-200002211-1-1-1-100-2-21111-1-1-1-12200000-200-1-111-2000110000-1-100000
χ24222222-122-122-1-122-2-1-12-2-211-1-1-1111122-1-12-100-2-222-2-211112222-1-211-2-2-1-1-11111020000-2-2-1-1-1-11100-2-21111-1-1-1-1-2-20000020011-1-12000-1-100001100000
χ2522222-122-122-1222-122-1-1222222-12222-1-1-1-1-122200002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1220022-1-100000000000000-1-1-1-1-1-1-1-1-1-102020000-1-10000-100
χ2622222-122-122-1222-122-1-1222222-12222-1-1-1-1-12220000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2222211-2-200-2-2-1-100000000000000-1-1-11-1-111110-20-20000110000100
χ2722222-122-122-1222-122-1-1222222-12222-1-1-1-1-12-2-200002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-2-1-12200221100000000000000111-111-1-1-1-10-20-20000110000100
χ2822222-122-122-1222-122-1-1222222-12222-1-1-1-1-12-2-20000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-200-2-21100000000000000111111111102020000-1-10000-100
χ2922222-122-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200002200000000-111111-1-1-11111-2-2-2-222-1-1-2-20022-1-1000000000000001111-1-1-1-1110-2020000-1-10000100
χ3022222-122-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12220000-2-200000000-111111-1-1-11111-22-2-222112200-2-2-1-100000000000000111-1-1-111-1-1020-20000110000-100
χ3122222-122-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200002200000000-111111-1-1-111112-222-2-2-1-1-2-200221100000000000000-1-1-1111-1-111020-20000110000-100
χ3222222-122-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-20000-2-200000000-111111-1-1-111112222-2-2112200-2-21100000000000000-1-1-1-11111-1-10-2020000-1-10000100
χ332222-122-122-1222-122-12-1-1-122-1-12-1-1-1-1-1-122-1-1222222002222-1-1-1-1-1222-1-1-1-1-1-1-1-1-120-1-1-1-10000220022-1-1-1-1-1-1-1-1-1-100222-1-10-1-10000002000-1-10000-1-1000
χ342222-122-122-1222-122-12-1-1-122-1-12-1-1-1-1-1-122-1-122-2-2-2-200-2-2-2-21111-1222-1-1-1-1-1-1-1-1-120-1-1-1-10000-2-20022111111111100-2-22-1-10-1-1000000-200011000011000
χ352222-122-122-1222-122-12-1-1-122-1-12-1-1-1-1-1-122-1-1-2-22222002222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-20111100002200-2-2-1-1-1-1-1-1-1-1-1-100-2-2-211011000000-200011000011000
χ362222-122-122-1222-122-12-1-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-200-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-2011110000-2-200-2-211111111110022-2110110000002000-1-10000-1-1000
χ372222-122-122-1222-12-2-12-111-2-2-1-121111-1-122-1-12222-2-20022221111-1-2-2-211-1-1-11111-2011-1-10000-2-20022-1-1-1-1-1-111110022-2110-1-1000000-2000110000-1-1000
χ382222-122-122-1222-12-2-12-111-2-2-1-121111-1-122-1-122-2-22200-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111-2011-1-10000220022111111-1-1-1-100-2-2-2110-1-10000002000-1-1000011000
χ392222-122-122-1222-12-2-12-111-2-2-1-121111-1-122-1-1-2-222-2-20022221111-1-2-2-211-1-1-1111120-1-1110000-2-200-2-2-1-1-1-1-1-1111100-2-22-1-10110000002000-1-1000011000
χ402222-122-122-1222-12-2-12-111-2-2-1-121111-1-122-1-1-2-2-2-22200-2-2-2-2-1-1-1-1-1-2-2-211-1-1-1111120-1-11100002200-2-2111111-1-1-1-100222-1-1011000000-2000110000-1-1000
χ4122-2-22222-22-2-2-2-2-22022200002-2-20000-2-22-22-22-22i−2i00002i2i−2i−2i00002000002-2-2000000002-2000000002-22i−2i2i2i−2i−2i0000002i−2i00002-200000000000000002i−2i000
χ4222-2-22222-22-2-2-2-2-22022200002-2-20000-2-22-22-22-2−2i2i0000−2i−2i2i2i00002000002-2-2000000002-2000000002-2−2i2i−2i−2i2i2i000000−2i2i00002-20000000000000000−2i2i000
χ4322-2-22222-22-2-2-2-2-22022200002-2-20000-2-22-22-2-222i−2i00002i2i−2i−2i00002000002-2-200000000-2200000000-222i−2i2i2i−2i−2i000000−2i2i0000-220000000000000000−2i2i000
χ4422-2-22222-22-2-2-2-2-22022200002-2-20000-2-22-22-2-22−2i2i0000−2i−2i2i2i00002000002-2-200000000-2200000000-22−2i2i−2i−2i2i2i0000002i−2i0000-2200000000000000002i−2i000
χ4522-2-2-122-1-221-2-2-2120-12-1−i3i300-11-2−i3−i3i3i3112-2-112-22i−2i00002i2i−2i−2i33−3−3-1000−i3i3-111−i3−i3i3i300−i3i3-11000000002-2−ii−i−iii33−3−3002i−2i0−i3i30-1100000000003−30000−ii000
χ4622-2-2-122-1-221-2-2-2120-12-1−i3i300-11-2−i3−i3i3i3112-2-112-2−2i2i0000−2i−2i2i2i−3−333-1000−i3i3-111−i3−i3i3i300−i3i3-11000000002-2i−iii−i−i−3−33300−2i2i0−i3i30-110000000000−330000i−i000
χ4722-2-2-122-1-221-2-2-2120-12-1−i3i300-11-2−i3−i3i3i3112-2-11-222i−2i00002i2i−2i−2i33−3−3-1000−i3i3-111−i3−i3i3i300i3−i31-100000000-22−ii−i−iii33−3−300−2i2i0i3−i301-10000000000−330000i−i000
χ4822-2-2-122-1-221-2-2-2120-12-1−i3i300-11-2−i3−i3i3i3112-2-11-22−2i2i0000−2i−2i2i2i−3−333-1000−i3i3-111−i3−i3i3i300i3−i31-100000000-22i−iii−i−i−3−333002i−2i0i3−i301-100000000003−30000−ii000
χ4922-2-2-122-1-221-2-2-2120-12-1i3−i300-11-2i3i3−i3−i3112-2-112-22i−2i00002i2i−2i−2i−3−333-1000i3−i3-111i3i3−i3−i300i3−i3-11000000002-2−ii−i−iii−3−333002i−2i0i3−i30-110000000000−330000−ii000
χ5022-2-2-122-1-221-2-2-2120-12-1i3−i300-11-2i3i3−i3−i3112-2-112-2−2i2i0000−2i−2i2i2i33−3−3-1000i3−i3-111i3i3−i3−i300i3−i3-11000000002-2i−iii−i−i33−3−300−2i2i0i3−i30-1100000000003−30000i−i000
χ5122-2-2-122-1-221-2-2-2120-12-1i3−i300-11-2i3i3−i3−i3112-2-11-222i−2i00002i2i−2i−2i−3−333-1000i3−i3-111i3i3−i3−i300−i3i31-100000000-22−ii−i−iii−3−33300−2i2i0−i3i301-100000000003−30000i−i000
χ5222-2-2-122-1-221-2-2-2120-12-1i3−i300-11-2i3i3−i3−i3112-2-11-22−2i2i0000−2i−2i2i2i33−3−3-1000i3−i3-111i3i3−i3−i300−i3i31-100000000-22i−iii−i−i33−3−3002i−2i0−i3i301-10000000000−330000−ii000
χ532-22-2222-2-2-2222-2-2-202220000-22200002-2-2-2-2-200002i−2i2i−2i00002i−2i2i−2i200000-22-200000000002i−2i002i−2i2i−2i000000002i−2i2i−2i2-2000000002i−2i0000000000002-200000
χ542-22-2222-2-2-2222-2-2-202220000-22200002-2-2-2-2-200002i−2i−2i2i00002i−2i2i−2i200000-22-20000000000−2i2i002i−2i−2i2i000000002i−2i2i−2i-2200000000−2i2i000000000000-2200000
χ552-22-2222-2-2-2222-2-2-202220000-22200002-2-2-2-2-20000−2i2i2i−2i0000−2i2i−2i2i200000-22-200000000002i−2i00−2i2i2i−2i00000000−2i2i−2i2i-22000000002i−2i000000000000-2200000
χ562-22-2222-2-2-2222-2-2-202220000-22200002-2-2-2-2-20000−2i2i−2i2i0000−2i2i−2i2i200000-22-20000000000−2i2i00−2i2i−2i2i00000000−2i2i−2i2i2-200000000−2i2i0000000000002-200000
χ572-22-222-1-2-2122-11-2-20-1-1200−i3i31-1-1−i3i3−i3i32-211-2100002i−2i2i−2i3−33−32i−2i2i−2i-10−i3i3001-11−i3i3−i3i30000002i−2i3−3−ii−ii00003−33−3−ii−ii2-200000000−ii3−30000−i3i30000-1100000
χ582-22-222-1-2-2122-11-2-20-1-1200−i3i31-1-1−i3i3−i3i32-211-2100002i−2i−2i2i3−33−32i−2i2i−2i-10−i3i3001-11−i3i3−i3i3000000−2i2i−33−iii−i00003−33−3−ii−ii-2200000000i−i−330000i3−i300001-100000
χ592-22-222-1-2-2122-11-2-20-1-1200−i3i31-1-1−i3i3−i3i32-211-210000−2i2i2i−2i−33−33−2i2i−2i2i-10−i3i3001-11−i3i3−i3i30000002i−2i3−3i−i−ii0000−33−33i−ii−i-2200000000−ii3−30000i3−i300001-100000
χ602-22-222-1-2-2122-11-2-20-1-1200−i3i31-1-1−i3i3−i3i32-211-210000−2i2i−2i2i−33−33−2i2i−2i2i-10−i3i3001-11−i3i3−i3i3000000−2i2i−33i−ii−i0000−33−33i−ii−i2-200000000i−i−330000−i3i30000-1100000
χ612-22-222-1-2-2122-11-2-20-1-1200i3−i31-1-1i3−i3i3−i32-211-2100002i−2i2i−2i−33−332i−2i2i−2i-10i3−i3001-11i3−i3i3−i30000002i−2i−33−ii−ii0000−33−33−ii−ii2-200000000−ii−330000i3−i30000-1100000
χ622-22-222-1-2-2122-11-2-20-1-1200i3−i31-1-1i3−i3i3−i32-211-2100002i−2i−2i2i−33−332i−2i2i−2i-10i3−i3001-11i3−i3i3−i3000000−2i2i3−3−iii−i0000−33−33−ii−ii-2200000000i−i3−30000−i3i300001-100000
χ632-22-222-1-2-2122-11-2-20-1-1200i3−i31-1-1i3−i3i3−i32-211-210000−2i2i2i−2i3−33−3−2i2i−2i2i-10i3−i3001-11i3−i3i3−i30000002i−2i−33i−i−ii00003−33−3i−ii−i-2200000000−ii−330000−i3i300001-100000
χ642-22-222-1-2-2122-11-2-20-1-1200i3−i31-1-1i3−i3i3−i32-211-210000−2i2i−2i2i3−33−3−2i2i−2i2i-10i3−i3001-11i3−i3i3−i3000000−2i2i3−3i−ii−i00003−33−3i−ii−i2-200000000i−i3−30000i3−i30000-1100000
χ6544444-2-24-2-24-2-2-24-24-21-244-2-2-2-21-2-2-2-2-2-211-2-200000044000000001-211-2-21111111040000-2-2-2-200-2-20000000000000000000-200111100000000000000000
χ6644444-2-24-2-24-2-2-24-24-21-244-2-2-2-21-2-2-2-2-2-211-2-2000000-4-4000000001-211-2-211111110-40000222200220000000000000000000200-1-1-1-100000000000000000
χ6744444-2-24-2-24-2-2-24-2-4-21-2-4-422-2-212222-2-211-2-2000000440000000012-1-122111-1-1-1-10-40000-2-22200-2-2000000000000000000020011-1-100000000000000000
χ6844444-2-24-2-24-2-2-24-2-4-21-2-4-422-2-212222-2-211-2-2000000-4-40000000012-1-122111-1-1-1-104000022-2-200220000000000000000000-200-1-11100000000000000000
χ694444-24-2-24-2-24-2-2-2441-2-2-2-2-2-211-21111-2-2-2-2-2100444400-2-2-2-2-2-2-2-214-2-2-2-211111110000000000-2-20000-2-2111111110000000000000000000000000000000
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χ1238-8-88-4-4-44-44444-4-4402220000-2-2-2-666-6-22-22-220000000000000000-10000011-13-3-33000000000000000000000000000000000000000000000000000000000

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