Finite Group Databasebeta

← Group #13172107

Character table — Group #13172107

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order12222233366666666644443336666666666666666666441212121212121212366666666666244466121212121212121212121212121212121212222266612121212121212121224446666661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-1-1-1-1-1111111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1-1-111-1-1-11-11-1-111-1-111-1-11111-1-1
χ101111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-11-11-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-1-11-1-1-1-111-1-111-1-1-1-111-1-11111-1-111
χ111111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-11-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-111-11111-1-111-1-111-1-11111-1-1-1-1-1-111
χ121111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-11-1111-1-1111-11-11111-1-1-1-111-1-111-1-1
χ131111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1111111-1-1111-11-1-1-111-1-11-11-11111-1-1-1-111-1-1-1-111
χ141111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-11111-1-11111-1-1-1-1-1-11111-1-111111-1-11-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1
χ151111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-11-11-1-11111-1-11111-1-1-1-11111-1-111-1-1-111-11111-1-1-1-111-1-1-1-111-1-1111111-1-1
χ161111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-11-1111-1-111-11-11-1-111-1-111-1-111-1-111
χ1722222222-122-1-1-1222200002-1-12222-1-122-12222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12222220022220022000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-10000000000
χ1822222222-122-1-1-1222200002-1-12222-1-122-12222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12-2-222200-2-2-2-2002200000000-2-2-2-2-1-1-1-111-1-1111100000011110000000000
χ1922222222-122-1-1-1222200002-1-12222-1-122-12222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-200222200-2-200000000-2-2-2-21111-1-111-1-1-1-100000011110000000000
χ2022222222-122-1-1-1222200002-1-12222-1-122-12222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-2-2-200-2-2000000002222111111111111000000-1-1-1-10000000000
χ212222222-12-1-1222222-12222-12-122-1-122-1-12-1-1-1-1-1-122-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-12002-1-1220000-1-1-1-1-1-1-1-1-1-1-1-100002-1-1200-1-100002002-1-100000000-1-10000
χ222222222-12-1-1222222-12222-12-122-1-122-1-12-1-1-1-1-1-122-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-200-211220000-1-111-1-1-1-1-1-1-1-10000-211-200110000-200-21100000000110000
χ232222222-12-1-1222222-1-2-2-2-2-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-12002-1-1-2-2000011-1-11111111100002-1-1200-1-10000-200-21100000000110000
χ242222222-12-1-1222222-1-2-2-2-2-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-200-211-2-200001111111111110000-211-2001100002002-1-100000000-1-10000
χ25222222-12222222-1-1-122222-1-12-1-12222-1-1-1-1-1-1-122-1-12-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-1022000-1-1-1-1-1-12200-1-1-1-1-1-1-1-1000000002200-1-1-1-10220000000-1-1-1-1000000
χ26222222-12222222-1-1-122222-1-12-1-12222-1-1-1-1-1-1-122-1-12-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-10-2-2000-1-111112200-1-1-1-1-1-1-1-100000000-2-20011110-2-200000001111000000
χ27222222-12222222-1-1-12-2-2-2-2-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-102200011-1-1-1-1-2-20011111111000000002200-1-1-1-10-2-200000001111000000
χ28222222-12222222-1-1-12-2-2-2-2-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-10-2-2000111111-2-2001111111100000000-2-20011110220000000-1-1-1-1000000
χ292222-2-222-122-1-1-1222200002-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-120000000000-11111-1-1-1111122-2-2220022-2-200-2-20000000022-2-2-1-1-11-1111-1-111000000-1-1110000000000
χ302222-2-222-122-1-1-1222200002-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-120000000000-11111-1-1-111112-22-22200-2-22200-2-200000000-2-222-1-1-111-11111-1-100000011-1-10000000000
χ312222-2-222-122-1-1-1222200002-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-120000000000-11111-1-1-11111-22-22-2-20022-2-2002200000000-2-222111-1-11-1-1-1-11100000011-1-10000000000
χ322222-2-222-122-1-1-1222200002-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-120000000000-11111-1-1-11111-2-222-2-200-2-22200220000000022-2-2111-11-1-1-111-1-1000000-1-1110000000000
χ332222-2-22-12-1-1222222-12222-12-1-2-211-2-2-1-121111-1-122-1-1-2-22222-1-1-1-1-1-2-211-1-1-11111200-2-1-1-2-200001111-1-1-1-1111100002-1-1-200110000-20021100000000-1-10000
χ342222-2-22-12-1-1222222-12222-12-1-2-211-2-2-1-121111-1-122-1-1-2-22222-1-1-1-1-1-2-211-1-1-11111-200211-2-2000011-1-1-1-1-1-111110000-211200-1-10000200-2-1-100000000110000
χ352222-2-22-12-1-1222222-1-2-2-2-2-12-1-2-211-2-2-1-121111-1-122-1-122-2-2-2-21111-1-2-211-1-1-11111200-2-1-1220000-1-1111111-1-1-1-100002-1-1-200110000200-2-1-100000000110000
χ362222-2-22-12-1-1222222-1-2-2-2-2-12-1-2-211-2-2-1-121111-1-122-1-122-2-2-2-21111-1-2-211-1-1-11111-200211220000-1-1-1-11111-1-1-1-10000-211200-1-10000-20021100000000-1-10000
χ372222-2-2-12222222-1-1-122222-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-2-1-1-1-12222-111-2-2-1-1-1111102-200011-1-111-2-200-1-1-1-11111000000002-200-1-11102-20000000-1-111000000
χ382222-2-2-12222222-1-1-122222-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-2-1-1-1-12222-111-2-2-1-1-111110-220001111-1-1-2-200-1-1-1-1111100000000-220011-1-10-22000000011-1-1000000
χ392222-2-2-12222222-1-1-12-2-2-2-2-1-1211-2-2-2-2-1-1-1111122-1-12-1221111-2-2-2-2-111-2-2-1-1-1111102-2000-1-1-1-11122001111-1-1-1-1000000002-200-1-1110-22000000011-1-1000000
χ402222-2-2-12222222-1-1-12-2-2-2-2-1-1211-2-2-2-2-1-1-1111122-1-12-1221111-2-2-2-2-111-2-2-1-1-111110-22000-1-111-1-122001111-1-1-1-100000000-220011-1-102-20000000-1-111000000
χ4122-2-2002222-22-2-2-22-2-22i2i−2i−2i2220000002-2-200002-22-2-2-2002i2i−2i−2i2i2i−2i−2i200002-2-2000000000000000000002i2i−2i−2i00002-2000000000000000000002-2000000002i−2i00
χ4222-2-2002222-22-2-2-22-2-22i2i−2i−2i2220000002-2-200002-22-2-2-2002i2i−2i−2i2i2i−2i−2i200002-2-2000000000000000000002i2i−2i−2i0000-2200000000000000000000-2200000000−2i2i00
χ4322-2-2002222-22-2-2-22-2-2−2i−2i2i2i2220000002-2-200002-22-2-2-200−2i−2i2i2i−2i−2i2i2i200002-2-200000000000000000000−2i−2i2i2i00002-2000000000000000000002-200000000−2i2i00
χ4422-2-2002222-22-2-2-22-2-2−2i−2i2i2i2220000002-2-200002-22-2-2-200−2i−2i2i2i−2i−2i2i2i200002-2-200000000000000000000−2i−2i2i2i0000-2200000000000000000000-22000000002i−2i00
χ452-22-200222-22-22-2-2-22-22i−2i2i−2i222000000-22-20000-22-22-2-2002i−2i2i−2i2i−2i2i−2i20000-22-2000000000000000000002i−2i2i−2i0000002-2000000000000000000002-2000000002i−2i
χ462-22-200222-22-22-2-2-22-22i−2i2i−2i222000000-22-20000-22-22-2-2002i−2i2i−2i2i−2i2i−2i20000-22-2000000000000000000002i−2i2i−2i000000-2200000000000000000000-2200000000−2i2i
χ472-22-200222-22-22-2-2-22-2−2i2i−2i2i222000000-22-20000-22-22-2-200−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000000000−2i2i−2i2i0000002-2000000000000000000002-200000000−2i2i
χ482-22-200222-22-22-2-2-22-2−2i2i−2i2i222000000-22-20000-22-22-2-200−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000000000−2i2i−2i2i000000-2200000000000000000000-22000000002i−2i
χ492-2-222-2222-2-2-2-222-2-222-2-222222-22-22-2-2-2222-2-2-2-2-2-2222-22-2-222-2-2222-22-2-2-2222-2-20000002-200002-2002-2-2222-2-2000000000000000000000000000000000000
χ502-2-222-2222-2-2-2-222-2-22-222-22222-22-22-2-2-2222-2-2-2-2-2-222-22-222-2-222-222-22-2-2-2222-2-2000000-220000-2200-222-2-2-222000000000000000000000000000000000000
χ512-2-222-22-1211-2-222-2-2-12-2-22-12-12-2-112-2112-1-11111-2-2-1-12-22-2-22-111-1-12-2-1111-1-1-1110000−i3i32-20000-11−i3i3-111-1-1-11100000−i3i3000−i3i300000000−i3i300000000−i3i30000
χ522-2-222-22-1211-2-222-2-2-12-2-22-12-12-2-112-2112-1-11111-2-2-1-12-22-2-22-111-1-12-2-1111-1-1-1110000i3−i32-20000-11i3−i3-111-1-1-11100000i3−i3000i3−i300000000i3−i300000000i3−i30000
χ532-2-222-22-1211-2-222-2-2-1-222-2-12-12-2-112-2112-1-11111-2-2-1-1-22-222-21-1-11-12-2-1111-1-1-1110000−i3i3-2200001-1−i3i31-1-1111-1-100000−i3i3000−i3i300000000i3−i300000000i3−i30000
χ542-2-222-22-1211-2-222-2-2-1-222-2-12-12-2-112-2112-1-11111-2-2-1-1-22-222-21-1-11-12-2-1111-1-1-1110000i3−i3-2200001-1i3−i31-1-1111-1-100000i3−i3000i3−i300000000−i3i300000000−i3i30000
χ552-2-222-2-122-2-2-2-22-11122-2-22-1-12-112-22-211-1-1-111-2-2112-12-2-111-12-2-22-1-112-211-1-1-111000000-113−33−32-200-111-1-1-1110000000000003−33−300000000003−33−3000000
χ562-2-222-2-122-2-2-2-22-11122-2-22-1-12-112-22-211-1-1-111-2-2112-12-2-111-12-2-22-1-112-211-1-1-111000000-11−33−332-200-111-1-1-111000000000000−33−330000000000−33−33000000
χ572-2-222-2-122-2-2-2-22-1112-222-2-1-12-112-22-211-1-1-111-2-2112-1-221-1-11-222-2-1-112-211-1-1-1110000001-13−33−3-22001-1-1111-1-10000000000003−33−30000000000−33−33000000
χ582-2-222-2-122-2-2-2-22-1112-222-2-1-12-112-22-211-1-1-111-2-2112-1-221-1-11-222-2-1-112-211-1-1-1110000001-1−33−33-22001-1-1111-1-1000000000000−33−3300000000003−33−3000000
χ592-2-22-22222-2-2-2-222-2-222-2-22222-22-22-22-2-22-2-222-2-2-2-222-222-2-222-2-222-22-22-2-22-2-222000000-220000-22002-2-22-2-222000000000000000000000000000000000000
χ602-2-22-22222-2-2-2-222-2-22-222-2222-22-22-22-2-22-2-222-2-2-2-2222-2-222-2-222-22-22-22-2-22-2-2220000002-200002-200-222-222-2-2000000000000000000000000000000000000
χ612-2-22-222-1211-2-222-2-2-12-2-22-12-1-221-1-2211211-1-111-2-2-1-1-222-2-22-111-1-1-221-111-111-1-10000−i3i3-2200001-1i3−i3-111-111-1-100000−i3i3000i3−i300000000i3−i300000000−i3i30000
χ622-2-22-222-1211-2-222-2-2-12-2-22-12-1-221-1-2211211-1-111-2-2-1-1-222-2-22-111-1-1-221-111-111-1-10000i3−i3-2200001-1−i3i3-111-111-1-100000i3−i3000−i3i300000000−i3i300000000i3−i30000
χ632-2-22-222-1211-2-222-2-2-1-222-2-12-1-221-1-2211211-1-111-2-2-1-12-2-222-21-1-11-1-221-111-111-1-10000−i3i32-20000-11i3−i31-1-11-1-11100000−i3i3000i3−i300000000−i3i300000000i3−i30000
χ642-2-22-222-1211-2-222-2-2-1-222-2-12-1-221-1-2211211-1-111-2-2-1-12-2-222-21-1-11-1-221-111-111-1-10000i3−i32-20000-11−i3i31-1-11-1-11100000i3−i3000−i3i300000000i3−i300000000−i3i30000
χ652-2-22-22-122-2-2-2-22-11122-2-22-1-121-1-22-2211-111-1-1-2-2112-1-22-111-12-2-22-11-1-2211-111-1-10000001-13−3−33-2200-111-111-1-10000000000003−3−3300000000003−3−33000000
χ662-2-22-22-122-2-2-2-22-11122-2-22-1-121-1-22-2211-111-1-1-2-2112-1-22-111-12-2-22-11-1-2211-111-1-10000001-1−333−3-2200-111-111-1-1000000000000−333−30000000000−333−3000000
χ672-2-22-22-122-2-2-2-22-1112-222-2-1-121-1-22-2211-111-1-1-2-2112-12-21-1-11-222-2-11-1-2211-111-1-1000000-113−3−332-2001-1-11-1-1110000000000003−3−330000000000−333−3000000
χ682-2-22-22-122-2-2-2-22-1112-222-2-1-121-1-22-2211-111-1-1-2-2112-12-21-1-11-222-2-11-1-2211-111-1-1000000-11−333−32-2001-1-11-1-111000000000000−333−300000000003−3−33000000
χ694444444-2-2-2-2-2-2-2444-20000-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-21111111114004-2-200000000-2-2000000000000-211-20011000000000000000000000000
χ704444444-2-2-2-2-2-2-2444-20000-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2111111111-400-42200000000220000000000002-1-1200-1-1000000000000000000000000
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Here i is the imaginary unit (i² = −1).